If a friend drove your vehicle when there was no insurance and was involved in an accident who is liable for the cost to replace the car?

There is more than one answer to this question. Because you did not state who was At Fault in the accident. If the other driver was at fault, it is that person or their insurance company that is responsible for the repairs on your car. If it is the friends fault, then it is the friend that is responsible. Even if the friend did or did not know you had did not have insurance.