My HKD school has no competitive team as our focus is a less sport oriented and more reality based (not to say that competing is not helpful for training) We only have a demo team at our school right now. I'm sure if I wanted to independently compete I could use my schools' name with my teacher's permission he would be cool with it.
terry; not so much. hapkido is rather brutal and many of the techniques (most?) would be illegal in a tournament setting. there have been hapkido tournaments, though, just with the 'legal techniques' a shortened list of available techniques. or you could enter a MMA tournament with a shortened arsenal; many of those guys have used hapkido effectively.
Can't say I've ever been to a Hapkido competition, however I did go to a Tae kwon do tournament but they made me register as a white belt.... It was brutal a hapkido blackbelts against a bunch of low rank Tae kwon do guys, weekend warriors that though because they won a few sparring matchies they could go get in a tournament. haha I'll never fight in another tournament again.