No, unless you know it was truly your fault. You should never admit fault or apologize to anyone after an accident, if you did not cause the accident. Sometimes, it feels like a good thing to do to calm down the other party, but unfortunately those good intentions can have consequences. If you wish to express concern for the other drivers and passengers, you must do so without jeopardizing your legal rights.
Consider these and other reasons why you should never admit fault or apologize while at the accident scene, if you did not cause the accident:
You might not fully understand the legal issues enough to know who bears legal liability under the law.
When you admit fault, police officers document your admission in their formal police report.
The other driver and any witnesses usually tell the investigating insurance companies about your admission.
A fault admission usually affects liability claim outcomes.
When you file a lawsuit, defense attorneys ask you to clarify your admission during your deposition or court testimony.
You create legal obstacles that reduce your chances of recovering damages for your injuries.
A spontaneous apology often comes across as admitting fault. It is better to focus your concern for the health and safety of the other driver rather than taking the blame when it was not your fault.