No, it's not possible, it's a dead certainty. This is part of the lie that alcohol tells - 'You need a drink to relax', but in fact, it is the alcohol itself that is giving you the screaming meemies. For me, the worst was the 3:30 am panic - I had sobered up enough to wake up and get really worried about stuff that was going on. Eventually, I ended up 'stuck' in a perpetual panic and state of anxiety that just screamed for more booze.
The cure for all of this was a solid decision to face my anxiety without booze. Very soon, it disappeared, and I was then able to turn my brain back on and deal with my issues that, in the sober light of sobriety, really weren't that big a deal anyway. Some of these issues just disappeared, like my anger and depression.
Stick with this abstinence stuff, it gets much better. I recommend it!