Child Custody Protection Act of 2017 This bill amends the federal criminal code to make it a crime to knowingly transport a minor across a state line to obtain an abortion without satisfying a parental involvement law in the minor's resident state. A parental involvement law requires parental consent or notification, or judicial authorization, for a minor to obtain an abortion. A violator is subject to criminal penalties—a fine, up to one year in prison, or both. The bill provides an exception for an abortion that is necessary to save the life of a minor whose life is endangered by a physical disorder, illness, or condition. This bill also prohibits and imposes criminal penalties on an individual who commits incest with a minor and knowingly transports the minor across a state line to receive an abortion.