Are drivers with learner licences able to get insurance for driving a van?

Sure they are, they just might have to pay through the nose.

There's a handy little van insurance website here http://www.motordirect.co.uk maybe they'll be able to answer over the phone for you

Answer 2

You will have to check with individual insurance brokers. Some companies will insure you while others won't.

One option to look into could be to take out temporary car insurance. Temporary car insurance lets you drive a vehicle for a short period of time, usually 1 to 30 days and it should be much cheaper than taking out annual insurance.