This seems like a fair assumption to make, what with the fact that all the astronauts float around the place, almost as though there's no gravity. This, however, is something of an illusion. There is lots of gravity in space. Considering the sun's gravity can extend well beyond the orbit of Pluto, it seems unlikely that you would be able to escape its clutches by flying around in a spaceship just above the Earth's surface. Gravity, or the bending of spacetime, basically permeates all of space in one way or another, it's virtually impossible to escape it completely. Even an object as distant as the Andromeda Galaxy (a cosy 2.5 million lightyears away) is exerting some kind of gravitational pull on us. The reason why astronauts aboard the ISS appear to "float" in space is because they are actually in free fall. That is, they are constantly falling towards the Earth, because of its gravitational pull. However, because the ISS is in orbit, it is travelling past the Earth as quickly as it is falling towards it, meaning that it simply "misses" it as it falls and ends up going round in a circle. So, when Douglas Adams said "The knack of flying is learning how to throw yourself at the ground and miss", he was exactly right.
