Yes, some piano players can play anything in any key. I had a piano teacher that could do that. Bach two part inventions, Charlie Parker beboplines, boggie woggie,Hanno exercises, pop songs, jazz standards, by ear or sight reading- it didn't matter. He could really play ANYTHING in any key.

I try to include transposition exercises in all my practices. I'm no where near the level of my old teacher but it's fun to try.