Axiom Space inks deal with SpaceX for 3 more private spaceflights to space station First private SpaceX spaceflight to ISS scheduled for early 2022 Tags: In this Saturday, April 24, 2021 photo made available by NASA, the SpaceX Crew Dragon capsule approaches the International Space Station for docking. (NASA via AP) Houston-based Axiom Space has now contracted four launches with SpaceX’s Crew Dragon spacecraft to fly paying customers to the International Space Station. The private spaceflight facilitator announced Wednesday that it has signed a deal with SpaceX for four total Dragon flights. The company previously announced Ax-1 and 2 flights but added two more, according to a news release.