Yep. Go to User CP > Edit Options. Then, where you see "Show Less Ads", check the box beside "Remove the Sponsor Ads at th top of the Forums/Discussions"
Just remember, membership is free because of those ads... The AA Supporter badge gives you the ability to turn the majority of them off (as you'll notice once you do), but there will still be a few.
"What, exactly, is the internet? Basically it is a global network exchanging digitized data in such a way that any computer, anywhere, that is equipped with a device called a 'modem', can make a noise like a duck choking on a kazoo." - Dave Barry