Answer
No, in space, sound cannot be heard. If you popped a bomb into space, you wouldn't hear the explosion. That is because their are too few atoms to jiggle, transmitting the sound to your ear.
And at the beginning of the Universe, there were no atoms to jiggle and no space to jiggle in. So the answer is NO, doubly so.
Also, the Big Bang was not really an explosion, simply an explosive expansion of spacetime. So the answer is NO, no bang was made by the Big Bang, triply so.