Criminal Law Questions? Ask a Criminal Lawyer.
Yes. You may file a criminal complaint unless he had a legitimate excuse for being there. If he was lost, or looking for a house for a job he was hired for, etc., he would not be trespassing.
At a minimum, the police should question him. They can determine whether he is to be arrested. Additionally, they can convey that he is not to go on your property, and of he does again, he's already been warned.