No, we don't offer that service. No, since suggesting a site doesn't impose a deadline or priority on any particular person (how could it, they're volunteers!) there isn't any way of predicting when a review might be done.
OK. I do appreciate that the people working for the ODP are volunteers. If my site is reviewed and not accepted will I be notifyed? And if not how or when could I ever try again at submission?
It can be a very long time before it gets reviewed and so we always suggest that, having submitted the site, you forget about it and promote your site in other ways.