Really depends, if you are out on your own and you don't have a really good reason to be (i.e. you're miles away from home for work or whatever) then it could potentially not work out so well. As has been said already, if you're out in a group then you have social proof on your side, which is awesome, but at the same time it won't always be as easy to move your girl, or go somewhere and escalate. Also if you go for a seduction in front of a load of your friends it can be annoying later on if you prefer to be discrete about such affairs... and also there's always the potential trap of worrying what they think about the woman you pull, before you even pull her.
I would treat a birthday lay as the icing on the cake, IMO trying to capitalise on it will most likely give off a sense of needy/opportunistic entitlement, just enjoy your birthday with your friends and don't make it hard for any women you meet.