Are there nonstop flights from Pisa (PSA) to Amman (AMM)?

Yes. Ryanair fly this route. Flight time is about 3h 34m.

What is the fastest connection from Pisa (PSA) to Amman (AMM)?

via Athens ≈ 4h 4m, via Sofia ≈ 4h 11m, via Bucharest ≈ 4h 27m (estimated flying time, excluding layovers).

from 23,000 JAL miles, from 30,000 ANA miles (economy, one way, based on the published award charts).

Pisa International Airport (PSA) to Queen Alia International Airport (AMM)・2,600 km

Nonstop flights available (1 airline). Flight time about 3h 34m. Nonstop return flights also operate.

With milesJAL 23,000 miles+ (via LHR)ANA 30,000 miles+ (via ATH)Economy, one way, estimate. Tap a connection for miles by cabin.

18 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.