I think there has been some experimentation with stripping an organ down to a collagen frame & loading it up with a recipients stem cells.

I think the closest we would ever get to native organs is identifying what alerts the recipient immune system & CRISPRing those bits of the new organ with the recipient's DNA. This would work just as well with animal organs with the advantage of using CRISPR while it's still in the animal.

It's probably not the best idea to perfectly recreate the organ that failed in that environment anyway.