AA 4444 then DL 1859 at JFK
Boston → New York → San Juan
Timetable, New York time
19:04AA 4444 from Boston at the gate
18:53DL 1859 to San Juan leaves the gate
23 h 49 apart on the timetable, overnight
DL 1859 leaves 23 h 49 after AA 4444 arrives on the timetable: more than half a day, so not a connection we count.