This question is surprisingly popular, but yes, some chocolate Labradors are born with blue eyes; any dog breed can have virtually any eye color, much depends on genetics. However, a Labrador with blue eyes indicates poor genetics. Labrador eye color should be brown in both black and yellow Labradors. Brown Labradors should have hazel or brown eyes. Blue eyes on a chocolate Labrador is pretty, but it means unequivocally that this dog is not purebred.