Yes.

If a person developed PTSD because of violence (especially child abuse), then they will almost certainly react to triggers with violence. It gets even more complicated in domestic relationships because the spouse or significant other will often trigger the PTSD victim on purpose, so as to make themselves feel that they have power during an argument. The triggered PTSD victim then commits violence against the domestic partner, which means that the PTSD victim is an abuser.

That's the cycle of child abuse, and that is why society should stop accepting child abuse.