The vodka itself will not prevent you from getting into ketosis. (Vodka does not contain any carbs.)
If the soda contains sugar, the soda will prevent ketosis. (Use sugar free soda to prevent this.)
If the amount of lime juice is small, the impact should be minimal.
Your body will burn off the calories from alcohol prior to burning calories from fat, so your weight loss (if that is your goal) may decrease. You may also become less inhibited, and tend to snack more in your “relaxed” state, so that may also slow/halt your weight loss.
Liquors tend to be better for ketosis than beer or sweet wines. (If drinking wine, check the type for carb content. Some wines have many carbs, while others have few.)