That's not really bullying imo, more like teasing.
My definition of being bullied is being constantly terrified about whether I was going to get beaten up that day, or whether people would nick my lunch or not, or everyone visibly avoid eye contact and move away as I walked down a corridor, or spit at me, or blow their nose on my P.E kit, or berate me for my appearance, to feel utterly rejected and alone.
So yeah, the rich bitch can **** off and stop whining for all I care.