The X-Men Trilogy

I have a question about the X-Men trilogy, does Wolverine fall in love with Jean Grey in the comics? Because I didn't see Wolverine hitting on Jean Grey in the X-Men cartoon show from the 90's instead I saw Wolverine bickering with Rogue...Now I realize that watching X-Men: The Animated Series is a far cry from reading the actual comics but cartoons like X-Men are supposed to emulate the source material.

Yes, Logan (wolverine) does love Jean, but realises that he couldnt go anywhere with it because of Scott (Cyclops), so takes a back seat.