I don't think so. I think that each relationship is unique and that all couples have their own way of dealing with each other. Me and my husband used to fight all the time. After a couple of years, even if one gets angry, it's really easy to dismiss it and to be honest, we really do not fight anymore.
There's no specific number but I think it is healthy to fight in a relationship as long as the fights don't happen everyday and they get resolved quickly so that they don't boil up in the future.