Take it easy and be aware of your dog's physical condition until you become confident that your pet is suffering no ill effects. Yes, a dog can get hypothermic. This occurs when a dog's body temperature drops below 95 degrees Fahrenheit. Most often we see hypothermic pets from exposure to the elements, without proper shelter, protection or a lack of being acclimated to cold weather. Elderly or very young animals are sometimes unable to regulate their body temperature properly.
Shock can also contribute to the inability to regulate proper body temperature.
Hypothermic symptoms include weak pulse, decreased heart rate, dilated pupils, shivering, blue mucous membranes, stupor, unconsciousness or coma. Areas susceptible to frostbite are the tips of ears, the tail, and pads of the feet. Additionally there will be a lack of pain or sensation of the affected area or it may be extremely painful when the area begins to warm up. In the event your dog is cold, the first thing it will typically do is try to huddle with humans or other dogs. If your dog is seeking shelter or climbing into your sleeping bag, I would consider this a good indication that your dog is cold.