They say that every person is different, and individuality is what makes everyone so special. Unfortunately, that's not usually true with our actual names, regardless of how unique and special your name might seem.
If you don't believe me, check out HowManyOfMe.com, which shows how many people have a certain name. Type in your name, your friend's name or a celebrity's name. The data being used is only from the United States; it is a little outdated (from the 1990 U.S. Census); and there are distinctions between full names and nicknames. Even still, at least it's a sample of those people with the same name.
So I suppose you can still be unique, but if you want to have a unique name, you might want to test it here first.