DH sure does! I've heard that when you're having a girl that dads are more susceptible to them. Although, I think it may also have something to do with his sensitivity. He's a tough guy, but a softy when it comes to me and our LO to be.
His stomach hurts when mine does and he often will go along with whatever craving I'm having ("wings? Wings sound great!"). His feet were even hurting a bit the other day when mine were swollen.
I just hope he holds it together during my labor, lol.