Possibly.
A suit for defamation or malicious prosecution.
Bad example because protective orders are sought because of fear and perception, not fact. She says she's afraid of you, you say there's nothing to be afraid of, she's not lying so there's nothing for you to sue for. She wants you to stay away. It's because you're not staying away that she files for the protective order. Get the idea?
I'm speculating, of course, for the purpose of an example but that's based on reading thousands of posts where the guy says she lied to get a protective order. There may be a miniscule percentage where that might be true but for the most, where there's smoke there's fire. Guys just don't want to take no for an answer.