Are there nonstop flights from Calgary (YYC) to Amman (AMM)?

No. The fastest connection is via Munich, about 13h 26m of total flying time.

What is the fastest connection from Calgary (YYC) to Amman (AMM)?

via Munich ≈ 13h 26m, via Amsterdam ≈ 13h 26m, via Frankfurt am Main ≈ 13h 26m (estimated flying time, excluding layovers).

from 40,000 JAL miles (economy, one way, based on the published award charts).

Calgary International Airport (YYC) to Queen Alia International Airport (AMM)・10,346 km

No nonstop flights. The fastest connection is via Munich (MUC), about 13h 26m of flying time (layover not included).

With milesJAL 40,000 miles+ (via ORD)Economy, one way, estimate. Tap a connection for miles by cabin.

None.

16 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.