Diabetic Testing Supply Access Act of 2013 - Amends title XVIII (Medicare) of the Social Security Act to deny the Secretary of Health and Human Services (HHS) authority to restrict or eliminate a Medicare beneficiary's option of electing, regardless of delivery method (except by mail), to have diabetic testing supplies delivered to him or her by retail community pharmacies, including one that contracts with a long-term care facility, assisted living facility, group home, or other type of residential setting recognized by the state.