Yes. I'm positive you can go from the Guggenheim Museum to the airport. There will be LOTS of taxis ready and willing to take you.
According to the official
Bilbao\'s Guggenheim Museum website, click the INFORMATION part of the menu, they say "Bilbao's airport is just 15 km from the city center." So, we can imagine that it could take, probably, anywhere from 25-45 minutes (or longer/shorter) depending on traffic.
Enjoy the Guggenheim! I would like to visit someday.
Saludos, MadridMan
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