No. You use vodka because it has no additional additives. Flavored vodka has additives which would not be safe to add to your tank.
I've been dosing my 240gal Reef for 2 months with good results...
BUT, I have to ask (playing devils advocate); What are the harmful additives in the flavored vodkas? What proof of this problem (other then reading other people's posts) do you have? ... reason I ask, is when reading the contents of the bottles... obviously there's nothing TOXIC to humans, let alone I can't imagine it toxic to fish.
... I'm going to start using a citrus flavored Vodka. I'll stop once someone proves to me it's "UNSAFE" for Saltwater Vodka Dosing.