Do I have a claim against their homeowner insurance

The people living next door to me have had limbs falling out of a tree on their property for the last 2 years. The damages were only to their personal property. This year, the entire tree fell right on top of my 1995 Ford Explorer my husband and I was saving for our future lawn business. Do I have a claim against the property owner. They should have cut the tree down after the first falling branches but most definitely after the second