Maybe, maybe not.
My son suffers from tics and we know that alcohol will make them worse because of how the brain processes the alcohol and which receptors it stimulates in the brain itself. If it's concerning you, I would gently suggest he see a neurologist to rule out early onset Parkinson's though.
Tics can also be OCD related, as well. So, if your husband's tics are related to alcohol abuse it really could only be determined by an evaluation. Tics are normally caused by an imbalance in dopamine in the brain.