Not if you already own the car. Then the cost of the car and insurance are sunk costs that do not count. Sure there is a little wear and tear, but that adds just a couple bucks.

If you buy a car/rent for that trip alone, then the cost of driving is far higher. However for most Americans the cost of a car is a sunk cost that cannot be counted. If you live someplace where it is possible to live without a car, then you can make that argument, but most of us do not.