Probably if not almost surely your insurance policy has a clause or provision in it that says you must submit to an examination under oath if your insurance company requests one while it is considering whether or not to pay your claim. If the insurance company request that you take an examination under oath and you refuse to do so, the insurance company can probably claim that you have breached your responsibilities and obligations under the policy and, on those grounds, refuse to pay your claim.
If you do not understand your insurance policy, or how your insurance company is handling your claim, contact an experienced insurance lawyer to get some good advice. You can reach Lexington, Kentucky insurance lawyer Robert Abell at 859-254-7076.