MrCosine:
If there were, I think they would be called joyriders.com or twoc.com.
The only types of cover I can think of would be short-term policies (do a google eg. dayinsure), available up to 28 days, where you are borrowing a car temporarily. Under those you do not have to the registered owner and keeper. Also if you worked in the motor trade, there are probably policies available.