< Obligatory "I am not a lawyer" disclaimer />
Right, so a few people have brought up IP and copyright questions and the breakdown is this:
- Making a game inspired by Star Trek (not using Star Trek IP)
- Super fine, unquestionably no legal problems at all.
- Make a game using Star Trek IP
- Pretty much the same legality as fan art, fan fiction, etc. (Which is to say, you're probably gonna be fine unless your work ~really~ pisses off IP rights holders). It's worth keeping in mind that AFAIK Star Trek fan work has a good history of being tolerated (and sometimes even supported) by those that own Star Trek.
- Make a game using Star Trek IP and try to sell it
- You're almost certainly gonna piss off the copyright holders, I'd advise against this.
- Make a game using existing Star Trek assets (recordings from a show, stills from a movie, star trek logo, etc)
- Copyright infringement, depending on your game you may be able to argue fair use... but my advice is try to avoid arguments if you can.
Ultimately, it's up to you what you do with "Make a game inspired by Star Trek", but I think so long as we all respect the work that is inspiring us and the people who made it we'll all be fine and free to have our fun. :)
Of course, if you're still worried about the legality of making something for the jam - just make a Babylon 5 game instead ;P