AA 1307 then JA 7029 at Lima
Miami → Lima → Cusco
Timetable, Lima time
05:10AA 1307 from Miami at the gate
19:25JA 7029 to Cusco leaves the gate
14 h 15 apart on the timetable
JA 7029 leaves 14 h 15 after AA 1307 arrives on the timetable: more than half a day, so not a connection we count.