Thanks.I've not 'heard' of this being done on I-Day. Maybe others on the forum have (?). Clearly, at graduation, you may administer the oath at the pinning ceremony for 2nd Lieutenant. Nothing is noted in the Appointee Booklet for the C/O 2027 so I recommend reaching out to Admissions (after your son/daughter receives an appointment). The listed email is listed in the booklet as email@example.com.
Thanks.(Forget this, keep reading to end) During any time alone with your new cadet, I am sure you could stage a photo op of an oath-taking and do the words between yourselves. It will mean just as much. The paperwork is all done, and the class will be officially sworn in as a group. That is essentially what it is at USNA, as parents do not see their plebe in uniform until they are released for a brief period after the group swear-in.
Now, I don’t know how USAFA I-Day works, so I don’t know if there is any window for a quick exchange.
As @Academician notes, there doesn’t seem to be any guidance n the Appointee guide; you can google the Class of 2027 one.
Ah - a little more digging - belay my last - read this - you drop him off, USAFA owns him, no more contact: