Yes - people can register for events or say they may be attending an event and you can create a menu item (or module) showing events a user is intending to attend.

An important thing to now here is that we are talking about JEvents events which can be associated with JomSocial groups - they are NOT native JomSocial events.

the best thing to do is to join the club, have a play (asking questions you need to ask) and if it doesn't do what you need (bearing in mind its worth asking before assuming something can't be done ) then just ask for a refund.