Yes--if you communicate to him in any way that he is not welcome at your home and that you will consider it trespassing if he shows up (if your friend hasn't served him yet you could give her a letter to hand him at the same time, which she can witness so he can't claim he didn't know), that would probably be enough to have him arrested if he shows up.
Better yet, you could add your own sort of "no contact" notice to such a letter that any communications not DIRECTLY INVOLVING the child will be considered by you as harassment and reported to the police, accordingly. If he persists in contacting you that might be sufficient for the police to charge him, depending on the law in the jurisdiction where you live. At the very least you will be putting him on notice and building a record that might help you later.
Hugs, please do contact an advocate for safety planning. They are EXPERTS at what can keep you safe until you go to court or can get other relief.