Most vets are open, but they do not allow people inside. You call ahead and arrange to have you pet picked up at the car. Can you call around? Pictures would be helpful. Is any other body part burned? Silvadene creme is best for treating burns. Call your vet office to see if you could at least get some of that. Heat lamps must be at least 18 inches away from chicks and ducks, and the wattage of the lamp makes a big difference. For example, the red 250 watt bulbs can be way too hot unless the temperature is very low. Sorry about your duckling.