If the state requires proof of financial responsibility, yes. The Nebraska DMV says a driver who owns no vehicle must buy a non-owner or operator policy, and that is the form the certificate attaches to.
More detail
This is one of the most useful facts in the whole process and one of the least known. Drivers who sell a car during a revocation often assume they can wait to deal with insurance until they buy the next one. Meanwhile the DMV is counting the requirement from the date it set, usually the date of eligibility for reinstatement, and the license stays revoked until the filing and the other reinstatement requirements are met. Waiting does not move the end date; it only keeps the driver off the road. A non-owner policy is inexpensive relative to an owner policy, since there is no rated vehicle and no physical damage coverage, and its main job here is to put a valid certificate on file so reinstatement can go ahead. The caveat is that it only works when it matches your facts. If a vehicle in your household is regularly available to you, a non-owner policy is the wrong form and leaves a real gap on that vehicle.