No, that would violate the rules of the site. If you posted the same question, it would get removed as a "duplicate." If you want more responses on a particular question, you can feature it and it will be highlighted at the top of the "recent questions" page and on the Live Feed for 24 hours.
Look, I'm going to suggest you something else. Ask the same question 3 or 4 days later and word it in a different (eye-catching) way. I've noticed that many people do that and they don't get in trouble. Or update your question in order to "bump" it.