There is! Once you reach level 11, you’ll unlock the Battle Arena, a place for you to compete against other players' Ships and Crew in nail-biting Space Battles.
Every battle you win brings you higher in the rankings, and as you start moving up in the leagues, you’ll win better and better rewards.
You never know who you’ll fight against - maybe the Defiant captained by Grand Nagus Rom? Or the Enterprise-D piloted by Locutus? Start fighting and find out!
You can read more about the Battle Arena here. It's important to note that after staying away from the Battle Arena for fourteen days, you will lose your ranking, so make sure to visit regularly.