It is possible?

Honestly. Could a man/woman that has one Black parents and one White parent be racist against the other? Is that possible? If I were to walk around and call other white people crackers, nobody would care, and if MJ were to walk around and drop the "N" bomb around other black people nobody would care on that side. So, is it possible in this scenario?

There are more races than just Black and White. I would say that child could either be racist against OTHER races than Black and White, or against all races, basically because society wouldn't consider them either Black or White, really.