Kremithefrog
Turbo and supercharger are possible together. BUT twin turbo and supercharger it's like BOOM and like really hard to make work but possible BUT would never be used in a practical application just BIG SHOW.
Well not really. Since some twin-turbo set-ups are sequential, like the FD Rx-7's, they basically does the same as a turbo+supercharger (aka twincharger), which is the smaller turbo spools quickly which feds into the larger turbo spooling that quickly, which provides quick response as well as high rpm output. In this case, the super-charger may not be as effective.
But with the twin turbo set-up seen in the skyline pic, they are two turbos spun by two different cylinder combinations (the first turbo is driven by cyl. 1-3, while the other is driven by cyl. 4-6), and then fed into the intake, they basically work as one larger turbo, and the intake never knows the difference. If both of these turbos were large/inefficient enough to lag badly, then a supercharger could be effectively to provide low rpm power.
I over simplified that, but you're "BOOM" theory still makes little to no sense. So this could work, it doesn't have to be "BIG SHOW", it's just that the time/effort/money to make this system work could probably be spent somewhere else more effectively.
Also, if you're looking for a practical application of twin-charging, there are quite a few MR2's that are twin-charged with great results. Avid readers of SCC would remember there was one in the ultimate street car challenge are year or two ago.