If the termite infestation triggers a covered peril, like a fire, then it is possible your home insurance might cover the fire-related damage. Or, if the homeowner was unaware of the infestation and the termite damage caused a total home collapse, home insurance might help pay for the rebuild. But, if you spot termites in your home and want to file a claim, it is highly unlikely that you will get home insurance to cover the termite damage.