NO IT'S NOT! The space shuttle and the International Space Station are set to dock at a relative speed of a few centimetres per second.
When the orange-tanned flight attendant pours you a measly portion of apple juice half-way over the Atlantic, the juice is not going into your plastic cup at several hundred miles per hour. It's all about relative motion within the aircraft's cabin. When the space shuttle catches up with the ISS, their relative speed is minuscule—that's the whole idea!
I'm not sure if Einstein got it right, though: if space and time are relatives, how come they never send me a birthday card?