Stop Institutional Child Abuse Act This bill establishes an interagency Federal Work Group on Youth Residential Programs to support and implement best practices regarding the health and safety, care, treatment, and appropriate placement of youth in youth residential programs. The work group must develop recommendations about a national database to aggregate information about processes and outcomes for youth in such programs. The work group also must support the education and training of professional and paraprofessional personnel in fields that service such youth. Further, the Department of Health and Human Services must contract with the National Academies of Sciences, Engineering, and Medicine to study and make recommendations about various aspects of federal and state oversight of youth residential programs.