Most public places have a drinking ban in NZ, violence, drink driving, drunk and disorderly, or as beaches are concerned, drunk swimming are all risks.
It's banned in certain places, and usually only in the streets. In Queenstown it was banned for about a week over the New Year period, but only in a zone along the waterfront, and only if you were out on the streets, so pubs and personal residences were fine
https://www.google.com/amp/www.newsweek.com/new-years-drinking-ban-private-island-new-zealand-767602%3famp=1