the short answer is yes. Depending on the type of insurance you or your company can be turned down. Different companies can handle different types of risk. As such any given company may decide that your firm is not within the guidleines they have set up. This is as it should be since Insurance companies are profit making businesses.
Look at ACA aka Obamacare. The health companies participating cannot deny coverage and almost without exception they claim to be losing money.
Read any insurance policy. LIkey you will see hundreds of reasons for potential denial of claims.
A typical home insurance policy (HO3) will not cover war, riot, earth movement, flood, nuclear, etc.
Perhaps you are asking can they deny "legitimate claims"?
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