​You can technically be an alcoholic and never be drunk.

but 7 six packs a week. drink two beers in the morning, two in the afternoon and two at night. you’ve drank six beers and haven’t gotten drunk. repeat 7 times and you drank 42 beers and never got drunk even once.

this would be disastrous for you health so you should never do this, but you’re an alcoholic who’s never drunk.