Stop Fentanyl Border Crossings Act This bill authorizes the Department of Health and Human Services (HHS) to restrict migration and imports from foreign countries to prevent the introduction of illicit drugs into the United States. Current law authorizes HHS to restrict migration and imports from foreign countries to prevent the introduction of communicable diseases. Under this bill, HHS may also restrict migration and imports from a country if HHS determines that the existence of substantial illicit drug smuggling from that country poses a risk to public health.