Yes, the smoke from burning poison ivy, oak, or sumac plants can cause significant respiratory irritation and other health issues for pets. When these plants burn, urushiol oil becomes airborne, which can irritate a pet’s respiratory tract, leading to symptoms such as coughing, wheezing, and difficulty breathing. Inhalation of this smoke can also cause more severe reactions, including inflammation of the airways and lungs. It's crucial to keep pets away from areas where these plants are being burned to prevent exposure and potential health complications.