Are there nonstop flights from Bali (Denpasar) (DPS) to Phuket (HKT)?

Yes. TransNusa Air Services, Indonesia AirAsia fly this route. Flight time is about 3h 37m.

What is the fastest connection from Bali (Denpasar) (DPS) to Phuket (HKT)?

via Singapore ≈ 4h 7m, via Kuala Lumpur ≈ 4h 9m, via Ho Chi Minh City ≈ 4h 55m (estimated flying time, excluding layovers).

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

Denpasar I Gusti Ngurah Rai International Airport (DPS) to Phuket International Airport (HKT)・2,646 km

Nonstop flights available (2 airlines). Flight time about 3h 37m. Nonstop return flights also operate.

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

7 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.