Can I drive my car right after a ceramic coating is applied?

Usually yes. Many coatings allow the car to be driven soon after application, but the early curing period is when the coating is most vulnerable to rain, dust, bird droppings and water spots. Follow the manufacturer's guidance on water avoidance and washing, and where possible keep the car under cover for the initial cure. If it must be driven, avoid rain, dusty roads and parking under trees, and remove any contamination gently and promptly.