Yes, it is possible for your car insurance company to cancel your car insurance policy. While it may not happen often, there are certain circumstances that can lead to the cancellation of your policy. For example, if you fail to pay your premiums on time, your insurance provider may choose to cancel your policy. Additionally, if you provide false or misleading information on your application, your insurer may have grounds to cancel your coverage. It is important to carefully review the terms and conditions of your policy to understand what actions could potentially result in cancellation.