Generally, no. However, even though you may think you were the at‑fault person in the accident, your assumption may be incorrect. You may not be the at‑fault person in the accident if, for example, an unknown motorist—that didn’t stop—ran you off the road, or caused you to hit another vehicle.
Even though that unknown motorist, we’ll call them “John Doe,” ran off and you didn’t have any clue who that was, you may be able to make a claim, or have a lawsuit filed. You would need to check with a lawyer to get a legal opinion on whether or not you’re the at‑fault person.