Are there nonstop flights from London (LGW) to Phuket (HKT)?

Yes. TUI Airways fly this route. Flight time is about 12h 8m.

What is the fastest connection from London (LGW) to Phuket (HKT)?

via Tashkent ≈ 12h 40m, via Frankfurt am Main ≈ 12h 40m, via Paris ≈ 12h 50m (estimated flying time, excluding layovers).

from 29,500 ANA miles, from 45,000 JAL miles (economy, one way, based on the published award charts).

London Gatwick Airport (LGW) to Phuket International Airport (HKT)・9,892 km

Nonstop flights available (1 airline). Flight time about 12h 8m. Nonstop return flights also operate.

With milesANA 29,500 miles+ (via IST)JAL 45,000 miles+ (via CDG)Economy, one way, estimate. Tap a connection for miles by cabin.

22 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.