Nope, the community has no moderator.
However, admins have access to reports. And if it's on Lemmy.World, I have started looking for such communities using a tool I wrote, which I hope will also make it easier for admins to monitor which subs aren't handling reports in a timely manner.
We have some others who have already put time and effort into working on monitoring that sort of thing, but I'm hoping to improve our response times.
We are generally seeking volunteers to moderator - who will handle reports hopefully daily, but definitely almost-daily. It requires occasionally dealing with folks being nasty, making sure posts and comments do fit the rules of the community as well as the instance Terms of Service. It's not a lot of work, but most people don't want to do it (which is fine).
Even if a lemming doesn't wish to moderatoe, however, honest and legitimate reports of rule-breaking posts and comments are appreciated. It's how we can eliminate the bad things from Lemmy.