Yes, the only requirement for membership is a desire to stop drinking as far as AA is concerned. And the fact of whether or not you might be alcoholic--each person as to answer that question for themselves. It is possible that you might perhaps be a heavy drinker, and not alcoholic. They have similar characteristics. It does talk about that in the Big Book. The best way that I was able to decide for myself was by reading Chapter 4--asking myself those two questions which I will paraphrase....If when you honestly want to you find you cannot quit entirely (or) If, when drinking, you find you have little control over the amount you take.........then you are probably alcoholic.
I found myself many times drinking when I told myself that I wasn't going to drink. Also, once I started drinking I couldn't stop.
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Quotes taken from Big Book First Edition