Access to Physical Medicine and Rehabilitation Services Improvement Act of 2006 - Amends title XVIII (Medicare) of the Social Security Act to provide for: (1) access to outpatient occupational and physical therapy services provided incident to a physician's professional services if furnished by an educated or credentialed therapist who does not have a license; and (2) coverage of certified athletic trainer services and lymphedema therapist services under part B (Supplementary Medical Insurance) of Medicare, including those provided in rural health clinics and federally qualified health centers.