Yes, it is normal for pets to sleep a lot. Pets, especially dogs and cats, typically sleep anywhere from 12 to 18 hours a day. It's essential for their overall health and well-being to get an adequate amount of rest. However, if you notice any sudden changes in your pet's sleeping habits or if they seem excessively lethargic, it's best to consult with a veterinarian to rule out any underlying health issues.