Yes, The Labrador Retriever can vary in eye color and coat color.
Blue eyes are possible but it’s not the norm. That said, we find that many people who adopt Labs end up with a dog who has one blue eye and one brown eye (or one blue and the other parti-colored).
If you want a purebred Labrador it is best to go with colors such as black, yellow, chocolate, or anything else similar mentioned in the AKC breed standard. Blue eyes do produce better results when breeding Labs since there are so many options for breeding Labradors for this particular trait…