AA 838 then DL 1514 at Miami
Havana → Miami → New York JFK
Timetable, Miami time
15:53AA 838 from Havana at the gate
15:37DL 1514 to New York JFK leaves the gate
23 h 44 apart on the timetable, overnight
DL 1514 leaves 23 h 44 after AA 838 arrives on the timetable: more than half a day, so not a connection we count.