Freedom to Travel for Health Care Act of 2022 This bill prohibits anyone from interfering with a person's ability to access out-of-state reproductive health care. (Reproductive health care is defined as medical, surgical, counseling, or referral services related to pregnancy, the termination of a pregnancy, contraception services, and other reproductive care.) Specifically, the bill prohibits anyone from restricting, discriminating against, or otherwise disadvantaging anyone who receives, provides, or assists with out-of-state reproductive health care that is legal in the state in which it is provided. The bill allows the Department of Justice to bring a civil action and establishes a private right of action for violations. The bill specifically waives any applicable governmental immunity and preempts any contravening state laws.