Hi Alec, Generally speaking not so. The shuttle, and space station orbits only in a range of between 125 to 225 miles high. The Earth's magnetic field plays a role in part of that protection. If would have to be an especially very, very strong solar storm, or solar flare to pose any real danger. Some satellites that orbit in higher orbits do suffer some effects, usually re-sets in their on-board operating systems, but usually no permanent damage. Away from Earth, perhaps on a long duration space flight to Mars say, the ship in which humans (Astronauts) would be aboard, will probably be equipped with a safe room (module), or protective area against radiation from solar storms. Predictions about solar storms are getting better, and more reliable. Check out the new "STEREO" solar mission, I believe it will help you even better! Thanks for visiting Solar Week!