Well there will be a way to iterate with streams like a for loop or an iterator - via Stream.iterate, but it will be present in jdk-9. But it is not that trivial to use - because it acts exactly like a for loop and thus not exactly what you might expect. For example:

 Iterator<Integer> iter = List.of(1, 2, 3, 4).iterator();

 Stream<Integer> stream = Stream.iterate(iter.next(),
                   i -> iter.hasNext(), 
                   i -> iter.next()); 
     stream.forEach(System.out::println); // prints [1,2,3]

Or this:

 Iterator<Integer> iter = List.of(1).iterator();

    Stream.iterate(iter.next(), i -> iter.hasNext(), i -> iter.next())
            .forEach(System.out::println); // prints nothing

For the case that you need there's the forEachRemaining, but it's no "magic", internally it does exactly what you do:

default void forEachRemaining(Consumer<? super E> action) {
    Objects.requireNonNull(action);
    while (hasNext())
        action.accept(next());
}