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This has been done numerous times. Maybe this page could give you some ideas:
https://tvtropes.org/pmwiki/pmwiki.php/Main/ThePictureCameWithTheFrame

Maybe I'm wrong, and the previous reply brings up a good point that it's been done before in many movies, but I think this happened in "The Skeleton Key" where a black magic witch was using fake identities to shroud the fact that they were stealing people's bodies to maintain their longevity.

Abduction? With Sigourney weaver.

I'd forgotten this film, it's worth a rewatch i think.

Not what you’re looking for but they did this on Friends with Phoebe and Teri Garr.