I don’t think it makes sense for Hook to have been there as a lost boy that knew Tink either due to what PoM saidabout TinkerMomma. TB seems like she is new at this fairy game, and due to timeline, Hook would have had to exit NL in order to be around to meet Milah, then 7 years with her oh so then the bean trip to NL. He might have been a Lost Boy too or be related to Pan, but Tink I think was a new arrival in NL after Hook had been there awhile.
“If I had a world of my own, everything would be nonsense. Nothing would be what it is, because everything would be what it isn't. And contrary wise, what is, it wouldn't be. And what it wouldn't be, it would. You see?” -- Lewis Carroll, Alice's Adventures in Wonderland & Through the Looking-Glass