No. You have to pay for the Moz API on a per-request basis so no one is giving that away for free. More on reddit.com

Eric Van Buskirk here. I was the first to do data studies as an employee of SEMrush (3ish years ago). Their link data is too small now to use their link metrics stand-alone. This is one reason their controversial recent study, which they still promote on their homepage, is odd. That db is not adequate for finding meaningful correlations with ranking. SEMrush used to have the best measure of how well a site ranks via SEMrush rank, however it's not clear how they get their KW volume data now whereas Moz and ahrefs switched to incredibly powerful/accurate clickstream data. So, personally I do not use SEMrush Rank anymore. Correct me if I'm wrong about their implementation of Clickstream data: they've said they'll be using it but I've not see it in the numbers. A bit of a naive question, but how many people use DR or DA to find the value of getting a link from a particular website vs. for seeing the ranking potential/power of their website vs. competitor's? To me, the best measure for a site's "ability to rank" is more about estimated traffic and competitiveness of the words a competitor is able to rank for. DR and DA I'd use to evaluate power of prospective link. If looking for link acquisition, I'd also keep in mind that site A might rank much better than site B even though site A has a significantly worse link profile. In that case, I might choose to go for the link from A. I always look at link profile metric AND rank success these days when building links. I also try to use DR and DA with ranking metrics when possible for judging power of a potential link. More on reddit.com

SEMRush can do it. Also Domain Authority is meaningless nonsense. More on reddit.com

Just to state the obvious to begin with: DA is not a Google metric, there is also no one way that it is calculated. Ahrefs and Moz both calculate this metric differently as it is their respective proprietary metrics. They just happen to have the same name and attempt to demonstrate the same thing. Chiefly, the strength of your current backlink profile. I personally ignore it. However, if you find it useful, choose one as your source of truth and stick with that provider otherwise you will find yourself confused and frustrated when trying to compare between the two providers. More on reddit.com