Accelerating Kids' Access to Care Act This bill requires state Medicaid programs to establish a process through which qualifying out-of-state providers may enroll as participating providers for five years without undergoing additional screening requirements, unless the state has an agreement with other states that governs coverage of children with medically complex conditions that is in accordance with specified guidance from the Centers for Medicare & Medicaid Services (CMS). Among other requirements, a qualifying provider must (1) serve individuals under the age of 21; (2) have previously been screened for Medicare participation or for participation in the Medicaid program of the state in which the provider is located; and (3) have been determined by the CMS or state Medicaid program to pose a limited risk of fraud, waste, or abuse.