DL 4903 then AA 1976 at O'Hare
New York JFK → Chicago → Puerto Vallarta
Timetable, Chicago time
09:27DL 4903 from New York JFK at the gate
08:43AA 1976 to Puerto Vallarta leaves the gate
23 h 16 apart on the timetable, overnight
AA 1976 leaves 23 h 16 after DL 4903 arrives on the timetable: more than half a day, so not a connection we count.