I'm listed as an additional driver on a rental agreement, can I take out an Eversure Car Hire Excess policy? 22 October 2019 09:45 Unfortunately not. The Lead Driver on the rental agreement must be the Policyholder on the Eversure Car Hire Excess policy. Related articles Can I cover other drivers? Are additional drivers covered? Do you cover Drop Off Charges for one-way rentals? I have not taken out CDW with my car rental firm so if I have an accident I am responsible for the full value of the car. Is this covered by the Eversure policy? Do you cover Vans/Motorhomes/Trucks?