Are there nonstop flights from Edinburgh (EDI) to London (LGW)?

Yes. easyJet fly this route. Flight time is about 1h 11m.

What is the fastest connection from Edinburgh (EDI) to London (LGW)?

via Castletown ≈ 1h 47m, via Belfast ≈ 1h 53m, via Belfast ≈ 1h 56m (estimated flying time, excluding layovers).

from 12,000 JAL miles (economy, one way, based on the published award charts).

Edinburgh Airport (EDI) to London Gatwick Airport (LGW)・574 km

Nonstop flights available (1 airline). Flight time about 1h 11m. Nonstop return flights also operate.

With milesJAL 12,000 miles+ (via CDG)Economy, one way, estimate. Tap a connection for miles by cabin.

15 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.