It is generally possible to allow someone who is not listed on your insurance policy to drive your car, including your mother. However, there are some important considerations to keep in mind. First, if the person who is driving your car gets into an accident, your insurance policy may not provide coverage if they are not listed on the policy. This means that you could be held liable for any damages or injuries that result from the accident. In addition, if you allow someone who is not a licensed driver to drive your car, your insurance company may refuse to provide coverage in the event of an accident.
There are some situations in which it may be possible to add someone to your insurance policy who does not live with you. For example, if you have a family member who frequently drives your car, you may be able to add them to your policy as a secondary driver. However, this will typically depend on the specific policies of your insurance company and the laws in your state. It is always a good idea to check with your insurance provider to find out what their specific policies are regarding adding additional drivers to your policy.