I’ve been watching the TV series Pantheon and I really like it, but this tiny aspect is something I can’t quite grasp. So these people have their minds uploaded to the cloud - and they make a point to state that they’re still “them” - alive, real, authentic. But would it really be like that? The process is brain mapping, so essentially they just make a perfect clone of your brain/mind and run it digitally. But it’s still just a simulation. A perfect clone is still just a clone. The original person is gone. I don’t see the “continuity” aspect.
Depends how “you” is defined.
If you’re talking about your ghost, then no that can’t be copied because it’s an imaginary thing of which there is no evidence, a projection of your mind if you will.
OTOH if “you” is just a collection of memories stored in a physical structure then yes, a molecular level printer could reproduce it.
The bobiverse series of books encounters this question. Probably my favourite series.