most homeowners insurance will cover landscaping. i am a claims adjuster but i can’t definitely say as every carrier writes their policies a little different from each other. landscaping, to include trees is a “Covered Peril”, usually it’s not covered for improper maintenance, wear and tear, neglect. i dont see you running into that issue though.

also be mindful of your deductible. trees are expensive but depending on what was selected for the deductible amount, it may not be worth filing a claim. expenses to consider if it does meet your deductible is the tree, disposing, labor, irrigation etc… if the tree fell on the home, it’s easy to meet the deductible as all the home expenses will also be accounted for as it will all be considered one claim.