Are there nonstop flights from Kashgar (KHG) to Changsha (CSX)?

Yes. China Southern Airlines fly this route. Flight time is about 4h 46m.

What is the fastest connection from Kashgar (KHG) to Changsha (CSX)?

via Chongqing ≈ 5h 18m, via Chengdu ≈ 5h 18m, via Chengdu ≈ 5h 18m (estimated flying time, excluding layovers).

from 23,000 JAL miles (economy, one way, based on the published award charts).

Kashgar Laining International Airport (KHG) to Changsha Huanghua International Airport (CSX)・3,629 km

Nonstop flights available (1 airline). Flight time about 4h 46m. Nonstop return flights also operate.

With milesJAL 23,000 miles+ (via XIY)Economy, one way, estimate. Tap a connection for miles by cabin.

25 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.