I have just spent a month writing about 2000 lines of Forth. My answer is no, at least w/r to generating something that looks like the by-hand code I wrote. LLMs coast by on being able to reproduce idiomatic syntax and having other forms of tooling(type checkers, linters, unit tests, etc.) back them up.

But Forth taken holistically is a do-anything-anytime imperative language, not just "concatenative" or "postfix". It has a stack but the stack is an implementation detail, not a robust abstraction. If you want to do larger scale things you don't pile more things on the stack, you start doing load and store and random access, inventing the idioms as you go along to load more and store more. This breaks all kinds of tooling models that rely on robust abstractions with compiler-enforced boundaries. I briefly tested to see what LLMs would do with it and gave up quickly because it was a complete rewrite every single time.

Now, if we were talking about a simplistic stack machine it might be more relevant, but that wouldn't be the same model of computation.