Yes, in small amounts. Most dogs can have a little plain cheese as a treat, but it is high in fat and some dogs are lactose intolerant. Avoid cheeses with garlic, onion or herbs.

Can Dogs Eat Cheese? Yes, in small amounts

How to give cheese safely

Small cubes of a low-fat, low-salt cheese such as mozzarella or cottage cheese.
Keep it to an occasional treat — under 10% of daily calories.
Skip it for dogs prone to pancreatitis or on a weight-loss plan.

Why

Many adult dogs digest lactose poorly, so too much cheese can cause gas and diarrhoea. Rich and blue cheeses are best avoided.

If your dog ate too much

A large amount may cause vomiting or diarrhoea. Call your vet if your dog has a history of pancreatitis or seems unwell.

Sources

AKC — Can Dogs Eat Cheese?
ASPCA — People Foods to Avoid Feeding Your Pets

General information checked against published veterinary sources. Every dog is different — ask your vet before changing its diet, and call them if it seems unwell.