You’ll probably need a ground terminal to get access to most new content but as long as you manage power generation and heat dissipation I don’t see a problem with running jellyfin from space.

Without a ground terminal you could maybe get physical access to someone else’s commsats and use their terminals, but orbital rendezvous in LEO is risky without a lot of dV and they aren’t designed to stay in LEO for more than a few years anyway so you’d have to occasionally do it again. Maybe if you find some kind of remote exploit you won’t need physical access but their radios will be facing away from you most of the time.