Personally, in matters like this. I always felt that it never hurt to ask. But don't be surprised that they tell you they haven't made any decisions yet. I wouldn't bug too much because you don't want to seem desperate, but by asking. You are also showing interest in the position and as somebody who has hired for a company in the past. I always saw this as a plus. Now mind you, this is only my opinion, you need to do what you feel is right.
Hugs,
Melissa Ann
PS: I do hope you get the job. Good luck.