Are there nonstop flights from Kavala (KVA) to London (LGW)?

Yes. TUI Airways fly this route. Flight time is about 3h 6m.

What is the fastest connection from Kavala (KVA) to London (LGW)?

via Stuttgart ≈ 3h 36m, via Munich ≈ 3h 36m, via Frankfurt am Main ≈ 3h 37m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Kavala Alexander the Great International Airport (KVA) to London Gatwick Airport (LGW)・2,212 km

Nonstop flights available (1 airline). Flight time about 3h 6m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via ATH)Economy, one way, estimate. Tap a connection for miles by cabin.

9 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.