Sure, people need good tasting food, too. That’s no issue. As for the already dead animals not having been harmed: Wut? They don’t exactly ask a cow nicely if it could just die for a steak. It needs to be killed. Often in a not too humane manner. Before that, it’s likely that the cow has suffered during transport or when it was forced to birth calves year in, year out, so it could keep producing milk. All those things harm the animal in one way or another, so yes, eating meat does cause harm.