Possibly. If you used the barn as part of a business (like farming) there would be depreciation for the business use.
Say the barn originally cost $50,000 and you used in as part of a business and over the years you took $10,000 in depreciation. Now the barns value is $40,000 ($50,000-$10,000).
The barn gets destroyed and the insurance company gives you $25,000 for the barn. Since the $25,000 is less than the $40,000 you do not need to claim anything as income on your taxes.
The same would be true if you did not use the barn is a business and it cost $50,000 originally and the insurance company gave you $25,000 for the barn there is no income to claim on your taxes.
The opposite is true is the barn cost $40,000 and the insurance gave you $50,000 then you would have a gain of $10,000 to claim as income on your return.
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