Are there nonstop flights from Rabil (BVC) to London (LGW)?

Yes. TUI Airways fly this route. Flight time is about 5h 40m.

What is the fastest connection from Rabil (BVC) to London (LGW)?

via Porto ≈ 6h 9m, via Espargos ≈ 6h 10m, via Lisbon ≈ 6h 10m (estimated flying time, excluding layovers).

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

Aristides Pereira International Airport (BVC) to London Gatwick Airport (LGW)・4,385 km

Nonstop flights available (1 airline). Flight time about 5h 40m. Nonstop return flights also operate.

With milesANA 30,000 miles+ (via LIS)Economy, one way, estimate. Tap a connection for miles by cabin.

15 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.