All that said, the purely theoretical answer would be, to an extent, yes. For any objects travelling faster than the speed of light, known as "tachyons", the way in which light behaves would be similar to the way that sound behaves for a supersonic craft. The object would arrive at your location before its sound does, so you would only hear the oncoming craft once it has passed you. And then you might hear two separate sounds: those emitted as the craft approached, and those from as it travelled away. The same sort of thing goes on with tachyons, as this rather pretty animation shows:
http://en.wikipedia.org/wiki/File:Tachyon04s.gif
In a second answer, the speed of light in some materials is such that it is possible for an object to travel faster through that medium (so in glass, for example, the speed of light is about two-thirds that of its speed in a perfect vacuum). In such cases we really do see a sort of "photonic boom", in the form of what is called the Cherenkov radiation:
http://en.wikipedia.org/wiki/Cherenkov_radiation
The effects are, again, rather pretty. In this sense the answer is "yes, but only of light is slower than normal".