No. Individual views upon liability are irrelevant. Anyone involved in a collision must provide their own and the vehicle owner’s name, address and registration number to anyone who reasonable requires them. If this is not done as soon as reasonably practicable or in any event within 24 hours, the incident becomes reportable to the Police. S 170 Road Traffic Act 1988.
The details ought to be volunteered; it is not for the victim to have to drag the details out of the third party. If they are not forthcoming, explain that you will then report the incident. This pre-supposes that the Police did not attend; if they did the driver will probably have been issued with a ‘producer’. If injuries have been sustained, the incident is reportable irrespective. The third party is also required to provide insurance details to anyone reasonably requiring them. Seek advice from the Helpline.