No, you do not need an exhaust to use a ceiling fan. Ceiling fans are independent appliances that can be installed and operated without any connection to an exhaust system.
A ceiling fan is designed to circulate air within a room, providing a cooling effect through the wind-chill effect. When the fan blades rotate, they create a breeze that helps evaporate moisture from the skin, making you feel cooler even without lowering the room temperature. This can be particularly beneficial during warm weather.
On the other hand, exhaust systems, such as exhaust fans or range hoods, are used to remove air, moisture, and odors from a specific area, typically in kitchens or bathrooms. They help improve indoor air quality by venting out stale air and bringing in fresh air from outside.
Ceiling fans and exhaust systems serve different purposes, and while they can both contribute to a comfortable indoor environment, they are not directly related or dependent on each other. You can install and use a ceiling fan without needing an exhaust system, and vice versa.