Welcome to SoberRecovery!
Short answer: Yes.
Somewhat longer answer: The human brain attempts to counter the constant flood of drug-induced happiness excessive alcohol consumption creates by producing more anxiety-related chemicals. (This is known as resetting your hedonic set point if you'd like to google for more information.) Everyone is different, but on average it takes about 90 days of being clean for the hedonic set point to return to it's natural state.
There's a great documentary called Pleasure Unwoven that covers this. I think you can get it on youtube, but it's in multiple parts. Definitely worth watching.
Good luck on your journey!