I think there should be bullying in the Sims 4. It is a real life thing, and would really fit. The Bullier As the Bullier, you get to bully people. Steal their lunch money, pick on, yada yad...
I was bullied as well but I wouldn't like to see it in-game. I don't see why anyone would. The Sims is supposed to be fun and a nice version of the world if you will.