Nope. If I lived one house over, it would be a different story, but because I live outside of the city limits in the county I'm not required to have one and the county does not issue business licenses(at least in my county).
I actually went 'round and round' with my bank over this several years ago when I had to open up a new business account, because they said I HAD to provide them with my business license before I could open a business account even though I was an existing business customer, because of laws and regulations put in place after 9/11. They eventually ceded, but it took me actually going downtown to get proof from the county that I didn't need one and in-fact couldn't get one.