Most homeowners insurance policies due cover some wind damage to your home.
Such as if the wind damages your roof, windows, siding etc then most times the homeowners insurance policy will cover the cost of the repairs to the home due to the wind damage.
However I have had some homeowners insurance policies that when I read in the terms and conditions that typical wind damage was not covered by the insurance policy.
That is unless I purchased additional insurance coverage to cover the wind damage.
But other homeowners insurance companies did cover wind damage to the home.
So be sure to read your homeowners insurance policies terms and conditions to see for sure if the wind damage is covered by your homeowners insurance policy.
However most homeowners insurance policies you buy do cover wind damage to the home.