You could, but be warned, the guys you're going to meet at a club probably aren't looking for anything serious or long term, i.e. an actual girlfriend. Ok, I could be wrong here, but new years eve is an excuse for everyone to go out get drunk and perhaps go on the pull..
So go out, have fun, but don't expect too much.
As for not wanting to be single, perhaps stop looking - for some weird reason I always tend to be find that guys find me at the time when I'm not really looking for anything. It's strange.
Anyway hope you're well and merry xmas.