Is it possible to migrate a Gist to GitHub with Star included?

I'm afraid it's impossible. It's hard to prove it's impossible, but I can give you some indirect evidence.

First of all, the transition from gist to GitHub does not have any special support as a function of GitHub, and if you do, you simply register a new remote repository as a function of Git itself.

Also, I think star is more of a repository itself than a repository's content. GitHub·gist It's easy to replicate the repository using the fork function in each service, but star information doesn't take over. I mean, it doesn't span between services.

Finally, if you search GitHub's own promotional blog, you can't find any article that looks like it.
https://github.blog/?s=gist+star

From the above, there is a high probability that there is no way to move from gist to GitHub with star.