Do I have the legal right to make someone leave?

My boyfriend’s acquaintance showed up here in the middle of the night with a trash bag of belongings and an order of protection that was filed against him by his on/off again girlfriend. This person is a gambling addict, a drug addict, and an alcoholic. These things combined with the allegations of abuse on the OP make me very uncomfortable. He brings out the worst in my boyfriend and encourages him to make bad decisions. My boyfriend won’t make him leave despite my requests. My question is whether or not I have the right to make this person leave our home? The house is in my boyfriend’s name, but some of the utilities are in my name. That is the only mail I receive here. The rest of my mail goes to my mom’s address.