It depends on what you mean by short distance? If you mean how far you drive back and forth to work, yes. Most companies rate driving by how far you drive to work or school one way and have it in catagories. Also they may consider miles per year driven.
If you mean do they offer coverage for a short term like just to drive it home from somewhere, no. Policies are written in terms of six months or a year and only this based on whatever the company offers. Few offer both types but some do. You can purchase a policy, pay the minimum, then cancel the coverage when you don't need it any more.
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