According to U.S. Code Classification Table 2714, if you are convicted of a drug-related felony or certain drug-related misdemeanors, you are ineligible to get a passport during the time you are incarcerated as well as during your court-mandated probation period, and can even have an extant passport taken away.efore you apply for a passport, you must make arrangements in the state where the child support is owed to make the payments; if you have questions about the process or about what is owed, you should contact the nearest child support enforcement agency.