If you want to fly to Vestmanneyjar og you can fly from the South Coast of Iceland with flightseeing.is
This is a terrific way to reach the island at it only takes about 5-7 minutes to fly to our beautiful island. Yet this is not a public transport. They do not offer regular flights to Vestmannaeyjar. So you will always have to contact them ahead of your visit and book a private flight to Vestmannaeyjar.