Yes, Of course. It's just that you may have difficulty finding a new company to accept your risk if you have had prior claims, especially if repairs have not yet been made. Addtionally many companies will not accept your application until the existing claim is closed.
In any case though, it's best to wait until your claim has been settled before switching companies. You insurance agent is your advocate with the company. Once you cancel your policy, you will no longer have an advocate while your claim is being processed, that leaves you at the mercy of whoever answers that 800 number.
If there was a coverage problem in regards to your claim, the simplest way to correct it is to have your policy endorsed to whatever coverages you like rather than starting over with a whole new company.
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