Yes and no.
When going by the rep threshold of 3000 needed to cast close votes, then we only have 12 (twelve) people who can effectively close a question without moderator intervention. But some of the names I haven't seen active on the boards for a while. At the same time, it only takes a rep of 15 to flag a post for moderator attention, so that gives people the power of voting by extension. Going by that logic, the answer then is "yes" but only as long as we have proactive users willing to participate beyond simply asking and answering questions.
Stack Exchange is the only place where I have extensive experience and seen questions closed by voting, and even then it is pretty rare in the tags that I watch relative to the number of questions that get posted. The answer is then "no" when comparing how community sized between SE and Ask Different.
Therefore, I think the question then becomes: How do we encourage more Ask Different users to become proactive members of the community beyond the usual asking and answering questions? How do we become more community-driven than we already are now?