While you can legally represent yourself in a car accident lawsuit (known as pro se representation), it is generally not advisable unless the case involves minor damages and straightforward facts. Car accident claims often involve complex legal and procedural rules, such as proving liability, calculating damages (e.g., medical bills, lost wages, pain and suffering), and negotiating with insurers who have experienced attorneys. 

The American Bar Association (ABA) cautions that self-represented individuals may struggle with legal deadlines, evidence rules, and courtroom procedures, potentially jeopardizing their case (ABA). For instance, failing to properly submit evidence or missing a statute of limitations could result in dismissal. 

However, if the accident caused minimal property damage or minor injuries with clear liability, self-resolution through small claims court (where legal representation is often restricted) might be feasible, as noted by the National Consumer Law Center (NCLC).