No, it is not normal for a light switch to control an air conditioner like a light. Light switches are specifically designed to control lighting fixtures, while air conditioners typically have their own dedicated controls, such as a thermostat or a remote control. These controls are specifically designed to regulate the temperature and functioning of the air conditioner.
If you have a light switch that appears to control your air conditioner, it is likely that the wiring or electrical connections have been improperly set up. It is important to have a qualified electrician inspect and correct any wiring issues to ensure proper functioning and to avoid potential electrical hazards.