Simply put, no. At no point should you admit fault or claim responsibility for the accident even if all parties may implicitly understand that you were at fault. When necessary, such as when speaking to the police at the accident scene, provide an explicit and factual statement that only details what occurred during the accident. Do not make statements to your insurance company or another driver’s insurance about fault. Doing so may make you legally responsible for all the costs associated with the accident, complicating any chance you may have to defend a claim. Secure legal assistance quickly after an accident to avoid these sticky situations.