No! While it's true that the Space Shuttle travels many times faster than the speed of sound, the shuttle is traveling in a near vacuum (where there is an
absence of matter). For sound to travel, there must be something to carry the vibrations--such as air. Because there's virtually nothing in space across which sound can be conducted, no shock waves are made and no sonic booms are created. In fact, it's completely silent out there!
Photo: NASA