Potentially, as even if he did not actually "hit" her, he still physically assaulted her. When I was around 19 years old, my roommate's boyfriend did something similar to me. He was not supposed to be in the apartment if she wasn't there, and one day when I told him to leave since she was at work, he grabbed me by my throat and threw me up against a wall. Think he ended up with a suspended sentence and probation.
Maybe, maybe not, it depends on what happened. For instance, if she is the one who initiated the physical confrontation, then he is probably justified by the law. However, if he is the one who initiated the confrontation, then he could get jail time from an assault or battery conviction.