If the state requires proof of financial responsibility, yes, and a non-owner policy is the form that satisfies it. The proof period does not start running until a valid certificate is on file, whether or not you own anything.
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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 clock they think is running is not, because nothing has been filed. 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 start and keep the clock running. 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.