Short Answer: No
Long Answer: It is definitely not at all normal to sleep someone. Whatever be the case. I'm not even going to say it is correct to slap a woman or a man. Whatever it is, it is definitely not acceptable. I completely understand that relationships are highly complicated and it can even be highly frustrating at times. But slapping or hurting someone is definitely not acceptable.
Any relationship proble is going to get solved some way or the other. They have to again lead a happy life together for many years. If anyone of them are going to take a simple thing very serious and do manhandling or womanhandling for that matter, their life may not be very smooth as before. Whatever be the case the emotions should definitely be kept under control. They can look forward to keep their mind calm and handle the situation in a better way.
Not a good example for kids
Tis is applicable for a very long term relationship as well where they even have kids. Imagineation where the parents have kids and the kid is forced to watch their parents fight with each other. Though most of the slapping actions are from the men's side to express dominance, there are also few cases where women slap their partner during tough conversations. Anything of that sort can become a very bad example for their kids if they end up watching all these things. The parents will lose their respect in front of their kids.
Fights are sometmes good for some relationships. It helps in clearing out the problems between the couple. Some couple don't really speak about their relationship issues and they suddenly erupt one day without any proper reason. That is not good for a healthy relationship. If they space things clearly then and there the relationship becomes very effective one. But in any situation slapping or hurting the partner is definitely not acceptable and even laws have serious punishment if this becomes a legal issue.