Nicaragua Political Prisoner Support Act This bill provides various immigration-related benefits to certain Nicaraguan nationals who are in the United States as part of a political prisoner release. Specifically, such individuals shall be eligible to receive (1) certain benefits that are available to admitted refugees, such as resettlement assistance; (2) certain assistance available to refugee children; and (3) a driver's license or identification card. An eligible individual is a non-U.S. national ( alien under federal law) who (1) is a citizen or national of Nicaragua (or an individual with no nationality who had resided in Nicaragua), (2) arrived in the United States on February 9, 2023, as part of a political prisoner release, (3) received a two-year humanitarian parole from the U.S. government, and (4) has completed the relevant security and law enforcement background checks. The parent, spouse, or child of such an eligible individual shall also be eligible for benefits under this bill.