Unfortunately, no. Each segment is awarded based on ticketed itinerary. Similarly, if you made an emergency landing and then took off again (continuation - not cancellation), you'd still only get one segment. If the emergency happened and flight was canceled and rebooked mid-flight (like a recent UA flight to FRA that landed in ORD, canceled and all pax rebooked), you'd earn credit for partial flight (most likely) and rebooked flight.

Sorry not to be answer you were looking for. Congrats on engagement!!