Many ways lead to Fourni, all of them across the water. Your only chance to get a helicopter ride is to fall in need of a hospital. Several times a week the Piraeus-Samos car-ferries go to Fourni. However, their timetables do not depend on flight schedules at the airport of Athen or Samos, so plan to stay for a night or two.
Port Police Fourni
Port Police Samos