Yes. A car that’s been in an accident is worth less than the exact same car that has not been in an accident. You’re entitled to recover for the “diminished value” of your car. The amount of “diminished value” you can recover is the difference in fair market value between your car before the collision and your car after the collision.
Here’s an example: Your car is worth $20,000. You get into an accident and your car is fully repaired. Because it’s been in an accident its value is now $19,000. You’re entitled to recover $1,000 in diminished value.
Because most people don’t know you’re entitled to recover for the diminished value of your car, most insurance companies don’t voluntarily offer to pay you for it. Be sure to do so when speaking with the insurance company about the damage to your car.