Interviews are for two purposes. First is to sell them on the idea of hiring you and second is for them to sell you on the idea of deciding to go for them if they give an offer. So think about anything you want to do in those terms, does this help sell me or does this help me weed out places I don't want to work?
Are you only willing to work in a place where they would think your creative answer is funny? It will take you much longer to find a job, but it might be one more suited to your personality.
Is this going to impress them? Well that depends, a good, solid, correct, boring answer is more likely to impress than a poorly thought out funny one. A well thought out but creative answer that is perfectly executed might make you stand out from the pack, but...
FizzBuzz is a weed-out question. It isn't to show off your high level skills or sense of humor, it is used by the interviewers to determine if this person has any skill at all. You would be amazed, if you have never done any interviewing, how many people can't actually solve it all. It's one of those questions that rarely helps your cause, only damages it. Sort of like the where do you see yourself in five years question or why did you you want to leave your current position question.
Because of this, personally I would find another way to show off that I have the creative chops or high level skills to stand out from the crowd. I would do it through showing my actual accomplishments and through being able to handle the real technical portion of the interview (not the weed out question) at a higher level than most people. These are the things that are the meat of the interview and where you should spend your time. Get FizzBuzz over and done with and then concentrate on the stuff that really shows who you are and what you can accomplish.