Yes. While it’s not the usual situation that someone in a younger generation gives gifts to someone in the older generation, there’s no tax rule barring this. In fact, under tax law there’s no bar to gifts being made by minors.
Costs that are not currently deductible and that are added to the basis of property. A capital expense generally increases the value of property. When added to depreciable property, the cost is deductible over the life of the asset.