Handicapped Independence Assistance Act of 1983 - Amends titles XVIII (Medicare) and XIX (Medicaid) of the Social Security Act to include within the definition of "medical and other health services" sensory and communication aids designed to substantially reduce or eliminate handicaps caused by blindness, deafness, a severe hearing or visual impairment, or the inability to communicate vocally. Continues to exclude from such inclusion eyeglasses, hearing aids, and certain other services. Provides that with respect to such benefits up to $5,000 annually and up to $15,000 in a five-year period may be considered as incurred expenses.