Is it possible for a person to be allergic to cold?

As strange as it sounds, it's possible to have an allergy to cold temperatures. Doctors refer to this as cold urticaria (ur-tih-KAR-ee-uh). It's also sometimes called cold allergy or cold hives. With cold urticaria, exposure to cold temperatures causes redness, itching, swelling and hives on your skin. As much as possible, people with cold urticaria should avoid exposure to cold air as well as cold water. For example, swimming in cold water is the most common cause of a severe, whole-body reaction — leading to fainting, shock and even death.