Yes, hypochlorite can damage the paint work on your car. Hypochlorite is a strong oxidising agent, which means it can react with the chemicals in the paint and cause them to break down. This can lead to the paint fading, becoming brittle, or even peeling off. In addition, hypochlorite can also cause the metal underneath the paint to corrode, which can further damage the appearance of your car.
If you need to clean your car, it is best to use a mild detergent and water. Avoid using harsh chemicals, such as hypochlorite, as they can cause damage. If you are unsure about what type of cleaner to use, you can always consult with a professional car detailer.