Human bodies are fungible. I think I would be "me" in a different body, yes. So is anybody.
To claim otherwise would mean anyone who's gotten a transplant or amputation is no longer themselves.
What, exactly, would be the link between you as you are right now, and “you” in a different body?
Of course they are themselves. The question is whether they are a different self.
What most people think of as "me" is a product of their brain. If you somehow could get a brain transplant you certainly would not be "you".