There are programs out there geared toward moderation, rather than abstinence. And some people may be suited for it. It's possible that some alcoholics (whatever that actually means) can drink moderately. However, I don't know of any self identified alcoholics who can drink moderately, and I have met hundreds.
It's possible you might be able to slow down, have just one drink, and enjoy yourself. Maybe you're not even an alcoholic. Do you think you are?