Ah, but to what extent? For the world to be completely non violent, we would all have to become vegetarians, unless we could grow steaks in a petri dish. Football, hockey, and definitely fencing would all have to be outlawed. And what about animals like wolves? Certainly wolves are violent animals.
As long as poverty, passion, conflict of ideas, and love exist, there will always be a degree of violence. Any time people feel too strongly about anything, there is a potential for violence.