i mean technically with all the reincarnation and stuff they're sort of the same princess but

YES DEFINITELY! here's what I've got for her so far but tl;dr she's rich as hell and her dad is probably ganondorf

I really like the idea of her having a long lost childhood friend who was either a Link or Exactly Like a Link, so he could either be that dude or remind her strongly of that dude, if you like!

And also she does a lot of sports and hanging out in high places and what if in Recolle she meets him while parkouring as Sheik, is what I'm saying