Is your yellow my purple?

I’ve often wondered if each of us has his/her own color palate that we view the world with. For example, if we see a car, could we really be seeing it in different colors? You see a yellow car and I see a purple car. BUT- since kindergarten we’ve been taught that the colors we are seeing are both called red.

I know we all have cones and rods (eye cells), but could our brains be interpreting colors differently but be trained to call them one uniform color?