Can you get sued for recording on a minecraft server without owner permission too?

Can you get sued for recording on a minecraft server without owner permission too?

Added (1). Can you get sued for recording on a minecraft server without owner permission? And can they file a law suit saying they didn't give me permission to record on their server even though they gave me the rank youtube which means I have to record on there?

I think you r safe

Usually they just cancel your account but you might get sued