Not really, the S2 end fight had a different ending in the manga and it ended there, nothing happened between the two other than what happened in the anime, there's a manga sequel but they haven't had much interaction yet
The first season was pretty loyal to the manga except I'm pretty sure they flipped the order of one or two arcs at the beginning, other than that I think it was done pretty well, I thought the storyline of season 2 was presented badly and all the story changes were bad decisions, just my opinion though
Yeah I was really looking forward to S2, they messed up the order, cut out some of the best parts and changed the plot for the worst, it would've been alot better had they stuck to the original story