Family Planning State Empowerment Act of 2003 - Amends title XIX (Medicaid) of the Social Security Act (SSA) to give States the option to elect to: (1) make available family planning services and supplies furnished to eligible individuals of child-bearing age to any individual whose family income does not exceed the greater of 185 percent of the income official poverty line applicable to a family of the size involved or the specified eligibility income level; and (2) extend the postpartum period for provision of family planning services and supplies.