Probably not. Your local US post office will be able to help. I wouldn't go to the one at the hospital.
https://www.jointbaselewismcchord.com/about-us/frequently-asked-questions/where-do-i-go-to-get-a-new-renew-my-u-s-passport/
Great question, Dont believe you can get a passport, suggest you call and ask to be sure
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