No, you cannot enter the rental property mortgage interest on Schedule A.
As stated on the Schedule A instructions for home mortgage interest - https://www.irs.gov/pub/irs-pdf/i1040sca.pdf#page=7
A home mortgage is any loan that is secured by your main home or second home, regardless of how the loan is labeled. It includes first and second mortgages, home equity loans, and refinanced mortgages.