Here’s what the DVLA say
https://www.gov.uk/request-information-from-dvla
You can request details of a vehicle’s registered keeper and certain other information from DVLA if you have ‘reasonable cause’.
Why you might make a request
‘Reasonable cause’ can include:
finding out who was responsible for an accident
tracing the owner of an abandoned vehicle
tracing the owner of a vehicle illegally parked on private land
issuing parking tickets
tracing people responsible for driving off without paying for goods and services
tracing vehicle owners suspected of insurance fraud
What information you can request
You can ask for:
details of a vehicle’s registered keeper
information about previous keepers for a vehicle now registered in your name
information the DVLA holds about you
Private car parking management companies can only request information from the DVLA if they’re members of the British Parking Association or the Independent Parking Committee.”