Yes, gazpacho with vodka is a recognized dish. Blend tomatoes, cucumbers, and peppers together with vodka and spices. Tabasco and Worcestershire sauce go well with vodka. Think of a Bloody Mary. However, gazpacho with vodka might not freeze as well as ordinary gazpacho. This is because alcohol doesn’t freeze as it has a much lower freezing point than the average freezer. What you can do is add the vodka after you have defrosted the gazpacho and give it a quick blitz.