DL 939 then DL 5591 at JFK
Los Angeles → New York → Chicago O'Hare
Timetable, New York time
20:59DL 939 from Los Angeles at the gate
19:36DL 5591 to Chicago O'Hare leaves the gate
22 h 37 apart on the timetable, overnight
DL 5591 leaves 22 h 37 after DL 939 arrives on the timetable: more than half a day, so not a connection we count.