Not at the Okefenokee Swamp Park, where you asked the question, which is a nonprofit 501c3 located outside of Waycross, Georgia. You can use at Suwannee Canal Recreation Area outside of Fargo to cover the parking fee.
Per https://www.fws.gov/refuge/okefenokee/visit/permits.html: "Existing Golden Eagle Passports and National Parks Passes with an expiration date will be honored until they expire."
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