Are there nonstop flights from Valparaiso (VPS) to Miami (MIA)?

Yes. American Eagle (airline brand) fly this route. Flight time is about 1h 27m.

What is the fastest connection from Valparaiso (VPS) to Miami (MIA)?

via Atlanta ≈ 2h 36m, via Asheville ≈ 3h 4m, via Charlotte ≈ 3h 6m (estimated flying time, excluding layovers).

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

Destin-Fort Walton Beach Airport (VPS) to Miami International Airport (MIA)・802 km

Nonstop flights available (1 airline). Flight time about 1h 27m. Nonstop return flights also operate.

With milesJAL 15,000 miles+ (via CLT)Economy, one way, estimate. Tap a connection for miles by cabin.

6 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.