It is possible to have two car insurance policies, and there are various scenarios where different cars — or even the same car — might have different insurance needs, leading to two separate policies. This includes if you have a personal and work car or if you have cars garaged indifferent states, for example.
You can also have two car insurance policies on the same car, but it’s often more complicated than it is beneficial. It's generally more practical and financially sensible to insure with only one provider and use a multi-car policy if you have multiple cars.