It is possible to have an allergy to sunscreen, according to the American College of Allergy, Asthma and Immunology. Allergies to sunscreen fall into two categories: contact dermatitis and contact photoallergy.
When a sunscreen allergy falls into the contact dermatitis category, the sufferer develops a skin rash where the sunscreen is applied, according to the American College of Allergy, Asthma and Immunology. The itchy rash can worsen over several days. If the sunscreen allergy is due to contact photoallergy, the person develops a rash when the sunscreen is exposed to sunlight. The rash only presents itself once the product is applied to the skin and the person goes into the sun. Symptoms of both sunscreen allergies include itching, redness, blistering and swelling.