No. I mean, there's always a certain Pokemon if I'm replaying I would always get,
other than that, I don't.
I always try to have every Pokemon on my team at some point, doing this makes me fall with Pokemon I wouldn't have originally thought of liking in the first place, like with Hypno and Golduck.
I replayed Crystal and decided I wanted a Psychic pokemon earlier on so I caught Hypno, and it just stuck with for the entire game, now it's one of my favorite Pokemon