They are made, they look like mini chainsaws and are commonly used for carving bowls.

A common brand for these blades is Lancelot

You can also get smaller saw blades in the 4.5" form factor. I suggest you go to a saw store or woodworking shop. Here is a product on Amazon:

http://www.amazon.com/KwikTool-BB450-2-Inch-1-Inch-8-Inch/dp/B000O3IOEW/ref=sr_1_2?ie=UTF8&qid=1357252670&sr=8-2&keywords=angle+grinder+wood+blade

Answer from Matthew on Stack Exchange
People also ask

How many teeth per inch do products within Diamond Saw Blades have?
Teeth per inch are also called points per inch, and is the number of teeth or points per inch on the tool. Teeth that are close together will create a fine and clean cut. Teeth that are further apart provides a more aggressive, less refined cut and allows the person using the saw to cut faster.
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homedepot.com
homedepot.com › tools › power tool accessories › saw blades
Angle Grinders - Diamond - Saw Blades - The Home Depot
What are the shipping options for Diamond Saw Blades?
All Diamond Saw Blades can be shipped to you at home.
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homedepot.com
homedepot.com › tools › power tool accessories › saw blades
Angle Grinders - Diamond - Saw Blades - The Home Depot
What's the price range for Saw Blades?
The average price for Saw Blades ranges from $10 to $600.
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homedepot.com
homedepot.com › tools › power tool accessories › saw blades
Angle Grinders - Saw Blades - The Home Depot
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The Home Depot
homedepot.com › p › King-Arthur-s-Tools-4-in-14-Teeth-Steel-Chainsaw-Blade-for-Woodcarving-47814 › 301530618
King Arthur's Tools 4 in. 14-Teeth Steel Chainsaw Blade for Woodcarving 47814 - The Home Depot
King Arthur's Tools 4 in. 14-Teeth Steel Chainsaw Blade for Woodcarving 47814
The 14 teeth Lancelot chain saw cutter fits 4.5 in. angle grinders with 7/8 in. (16 mm) center holes. More aggressive than the 22 tooth and leaves a coarser finish but you'll be amazed at the smooth finish. Excellent for rapid wood removal, cutting and general shaping
(4.3)
Price   $36.99
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FineWoodworking
finewoodworking.com › home › forum › wood blade for angle grinder?
wood blade for angle grinder? - FineWoodworking
March 6, 2003 - The maker's name is Oldham, which makes inexpensive blades for contractors and the like. It is 4 3/8", which will be fine in a 4 1/2" grinder. There are several different arbor diameters for those small angle grinders, so you may need to get a bushing for the blade you buy.
Find elsewhere
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The Home Depot
homedepot.com › p › King-Arthur-s-Tools-4-in-22-Teeth-Steel-Chainsaw-Blade-for-Woodcarving-45822 › 301475854
King Arthur's Tools 4 in. 22-Teeth Steel Chainsaw Blade for Woodcarving 45822 - The Home Depot
King Arthur's Tools 4 in. 22-Teeth Steel Chainsaw Blade for Woodcarving 45822
The 22-teeth Lancelot chain saw cutter fits 4.5 in. angle grinders with 5/8 in. (16 mm) center holes. Not as aggressive as the 14 and 12-tooth and leaves a finer finish but you'll be amazed at the power and control. Excellent for use in dual tandem combination with another 22 or 14-tooth Lancelot but can also be paired with a 12 or 18-tooth Squire.
(4.4)
Price   $39.99
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Amazon
amazon.com › 4-1-2-Inch-Wood-Carving--Cutting--Angle-Grinder- › dp › B07KFJ31G6
GRAFF SPEEDCUTTER 4-1/2 Inch Wood Carving Disc for ...
Cut Off Wheels 3 Inch Thin Metal & Stainless Steel Cutting Wheel – Professional 3” x 1/16” x 3/8" Fast Cutting Disc for Die Grinder GRAFF (25 Pack) · Graff-City Grog Full Metal Paint & Squeezer 10 EPT - 10mm Mop Marker & Gloss Permanent Paint Refill 200ml (Jellyfish Fuchsia) · After ...
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The Garage Journal
garagejournal.com › forums › the tools › general tool discussion
Angle grinder with saw blade? | The Garage Journal
March 30, 2020 - Couple of wood carving companies sell essentially a 4" blade with carbide teeth and/or chainsaw blade for mounting on a small angle grinder. Often called a "shaping disc" used for heavy carving applications like cupping out the seat of chair.
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eBay
ebay.com › shop › angle-grinder-wood-cutting-blade
Angle Grinder Wood Cutting Blade | eBay
Indestructible Circular Saw Blades 4 inch 3 Pack for Metal Tile Wood CuttingOpens in a new window or tab ... 3x Tungsten Carbide 4.5" Wood Plastic Cutting Disc for Angle Grinder 7/8 5/8"Opens in a new window or tab
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Quora
quora.com › Can-you-put-a-wood-blade-on-an-angle-grinder
Can you put a wood blade on an angle grinder? - Quora
Answer (1 of 5): Yes they exist, and I even own one or two. I have never put them on the grinder though because frankly they’re terrifying. If you’ve ever used an angle grinder you know that it’s prone to kickback, and if you have it oriented so that it can’t hurt you if it bucks, then ...
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The Home Depot
homedepot.com › tools › power tool accessories › abrasives › grinder accessories › wood carving discs
Angle Grinders - Steel - Wood Carving Discs - The Home Depot
Home Depot Credit Cards · Select store · ... ... Cart · Select store · ... ... Shop All · Services · DIY · Log In · Cart · ... Home · /Tools · /Power Tool Accessories · /Abrasives · /Grinder Accessories · /Wood Carving Discs · 4 Results · Filters · FiltersClear All · Ideally Used With: Angle GrindersSaw Blade Material: Steel ·
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The Home Depot
homedepot.com › p › RIDGID-4-5-in-Diamond-Multi-Cutting-Blade-HD-VBMU45 › 312834942
RIDGID 4.5 in. Diamond Multi-Cutting Blade HD-VBMU45 - The Home Depot
Get the best and ultimate addition to your drilling application by selecting this RIDGID Diamond MultiCutting Blade
Published   September 17, 2020