Water can make vapor, of course, and water is part of the liquid in cartridges. But by itself, it won't do you any good. It's what we call "too thin." It will run out of the cartridge and make a mess, if used by itself or in diluting the liquid too much.
Sometimes, if you find your e-cig is not working right, you can take it apart so you have the atomizer in your hand. You can then wash the atomizer under gently running water, to clean it. When it's clean, dry it completely. Use your mouth to blow out all the remaining water, then use a hair dryer to complete the drying. Now you're ready to start with a new cartridge. But I don't advise doing this very often. These e-cigs clean themselves! If you ever run water over a warm atomizer -- poof, that atomizer is ruined. It'll break in half.
In the beginning, when you're new to this, do just what Karen suggested. Do everything your instructions tell you to do. That way, you won't ruin the warranty with the product. As soon as someone starts doing things differently, the maker of the e-cig can say "I didn't say that was allowed. You'll not get any replacements from me!" So no water for awhile. No dripping fluid, no matter what you read on the forum. Use new cartridges in your new unit and see if you're a happy e-smoker.
If you're not, we're here to try to help you
through problems.