Jesse acts like he hates Yosuke, but he doesn't. Not even a little, actually. He considers Yosuke his friend - and a pretty good one, since Yosuke's the one who brought Jane to him. There's a lot that he can't stand about Yosuke, though, like his constant judgmentality about the drugs and the whole one-sided competition to win Lisbeth's heart (which Jesse considers his already, so he was really insulted by this guy moving in on her). He sees a lot of himself in Yosuke, which threatens him because Yosuke's younger and has fucked up less and probably has a way brighter future. So he can completely see this guy eventually swooping in to take everything he loves away from him. But not yet, thankfully. Anyway, he's entrusted a lot to Yosuke: Lisbeth, Jane, the secret about his powers, the extent of his addiction... It hurts when Yosuke throws that stuff back in his face, but there's something to be said for allowing Yosuke to see him vulnerable in the first place.