Protecting Patients Transportation to Care Act This bill provides statutory authority for the requirement that state Medicaid programs cover nonemergency transportation to medically necessary services. The bill also requires states, as a condition of federal payment for such transportation services, to comply with certain utilization management requirements. States must also establish mechanisms that ensure transportation providers and drivers meet specified quality and safety standards. The Government Accountability Office must report on the extent of, and identify measures that prevent, Medicaid fraud and abuse in relation to such services. Additionally, the Centers for Medicare & Medicaid Services must, among other things, establish a stakeholder working group to address certain challenges regarding Medicaid program integrity and coverage of such services.