Technically yes, absolutely! But countries and airlines have agreements
regarding overflights in other countries.

I am sure the passenger list MUST be provided to the U.S. authorities for
all passengers onboard ANY international flight that
traverses U.S. airspace even if said flight does not land on U.S. territory
while enroute.

"FDR" wrote

If a flight that goes over American airspace has an inadmissable alien,
can
they arrest him while in American airspace too? After all, that is our
territory.