MLB's Matt Kemp -- HITS HOLLYWOOD CLUB ... My Season's Done Anyway.

With his team eliminated from the playoffs ... and his season over with a finger injury ... SD Padres star Matt Kemp hit the Hollywood club scene last night ... because ... well ... why the hell not?!

Kemp and some pals hit up 1 OAK nightclub on the Sunset Strip ... where rapper Noreaga was chillin' last night ... and partied like he didn't have to get up and go to work this morning.

'Cause he doesn't.