Yes, you can use Gorilla Glue on polystyrene. However, it's important to keep in mind that it is a polyurethane-based glue, which may have different properties compared to other types of adhesives, such as standard adhesives. It forms a strong bond by creating a chemical reaction with the materials it comes into contact with. It may be a good choice for bonding polystyrene pieces together for certain applications. However, it's recommended to test the glue on a small, inconspicuous area first to ensure that it doesn't have any adverse effects on the polystyrene material.