Yes, pets can transfer urushiol oil from poison ivy, oak, or sumac to humans through contact with their fur. While pets are less likely to develop a reaction due to their fur coverage, the oil can adhere to their coat and remain potent. If humans then touch the contaminated fur, the oil can transfer to their skin, potentially causing a rash. It is advisable to wash pets thoroughly with a pet-safe shampoo if they have been in areas where these plants are present to prevent the spread of urushiol oil.