Cant, to legally drive the car you must be insured, basically you can insure a car against multiple names.
So car 1, 2, 3 and so on can have both owners in terms of insurance. What you do is you specify 1 owner, and the rest you specify as co owner/driver, basically you are just insuring the car to be driven by someone else. But the owner of the car must be insured, otherwise he cannot drive the car.

So to answer the question no you cant, but you will find it problematic when you try to get it insured as you would be insuring yourself as the co owner/driver but to do that the car would need an owner insured first.