Potentially, yes. All the same laws apply to drivers learning on ‘private land’. If you are learning to drive in an area the public has access to, for example, a footpath, then you must have the same insurance as you would need to drive on the road.
Without the right weekly or monthly learner driver insurance, not only do you risk having your car seized but you could face fines and see points added to your licence. This can have a big negative impact on your premiums when buying annual insurance after you’ve passed.
Having the right insurance is not only the law, but it gives learners that little bit of extra reassurance when practising on the road.