I think with the proper teachings it can be done. It'd be a hard task, but would save lives in the long run.
Bullying seems to be inherent to our nature, due to the frequency it happens. But most of it is pack mentality that can be broken down. If you get them alone and actually make them think about the consequences of their actions, they usually stop.
It's also about educating the bystanders that they need to learn to step in and stop instead of being a spectator.

I know a lot of the problems I suffer from in my adult life can be traced back to what happened to me at high school. I still have problems with crowded spaces, seeing knives, and people standing in my peripherals. When that "get out" urge hits in a panic situation, I still have to fight back turning into a raging fury.
It dosent help that I have to walk around seeing the physical scars for the rest of my life.