No. We don't typically report the purchase of a house or land. It's only when it's sold that your purchase becomes significant in your taxes.
However, as a buyer, you should report property taxes paid starting on the date of the sale although by itself, a partial year of property tax probably won't help, especially since you paid with cash and didn't take out a mortgage.
If you have any other details regarding this question, please feel free to post them in the comment section.
