Joint Task Force to Combat Opioid Trafficking Act of 2019 This bill authorizes the Department of Homeland Security (DHS) to establish a joint task force to enhance border security operations to detect, interdict, disrupt, and prevent narcotics such as fentanyl and other synthetic opioids from entering the United States. DHS shall report to Congress as to whether it will establish such a task force. If such a task force is established, DHS shall periodically report to Congress on issues such as what additional resources are needed to detect and prevent narcotics from entering the United States. The bill also authorizes DHS joint task forces to engage with and receive assistance from outside DHS, including private sector organizations and federal, state, local, tribal, territorial, or international entities.