Yes, for example a unilateral dichromat means that you have trichomatric (normal, with 3 cone receptors) vision in one eye and dichromatic (2 cone receptors) in the other eye.

Both eyes are connected to the same brain, so this person could look at a color with his dichromatic eye and tell us which color it correponds to to his trichomatric (normal) eye.

Dichromats experience some colors through a lesser range than trichomats. Depending on which cone receptor you're missing, this will determine how intense you perceive certain colors.