Yes, it is possible to be infected with both herpes simplex virus type 1 (HSV-1) and herpes simplex virus type 2 (HSV-2) at the same time. Each HSV strain can cause oral or genital infections, but they are distinct viruses that can infect different parts of the body. It's important to practice safe sex and take precautions to reduce the risk of transmission or complications associated with these viruses. If you suspect you may have been exposed to either HSV-1 or HSV-2, consult a healthcare provider for proper testing and guidance on managing your condition effectively.