Can your school ager apply their own sunscreen?

E came home from kinder yesterday with his poor little face burnt to a crisp. Apparently they ate lunch outside and the extra time was too much for my super pale child. He said another kid asked the teacher to help put on some sunscreen, but the teacher's aren't allowed to help. We generally use a spray and he can't press the trigger himself. I'm thinking maybe I need to pick up at least a face stick for him and be much better about reminding him to take his hat. It's frustrating to me that they wouldn't sit the kids in the shade at least though.