Unfortunately, no, that is not possible. It doesn't matter what information you have off the unit, unless the serial number happens to be listed on an active police investigation or report, filed INTO their database, and then encountered during the process of some other investigation or the finding of a large number of stolen items, there is no practical way for it to be located.
My advice would be to report it to the police along with your identifying information, and then assume it gone. If they ever find it, great, but I would not expect that to happen because it rarely does.