The answer by and large seems to be no—the amount of alcohol that remains in kombucha after fermentation isn't substantial enough to get you drunk. In Canada, federal regulations state that any beverage sold as non-alcoholic can't have more than 1.1 per cent alcohol by volume (ABV) content.
Kombucha is a potentially good source of probiotics, which can promote gut health and prevent constipation. It can also help keep you hydrated, which is important for improving stool consistency and promoting regularity.