Housing Preservation Matching Grant Act of 2003 - Authorizes the Secretary of Housing and Urban Development to make matching grants to States (including the District of Columbia and U.S. commonwealths, territories, and possessions) for low-income housing preservation.Sets forth requirements for projects: (1) with Department of Housing and Urban Development-insured mortgages; (2) with section 8 assistance; or (3) purchased by the residents.