YES, you can have a supercharger and a turbo on the same car. It's been done before.
The one I've seen used a roots blower for instant low-end boost and power. The Turbo let it have killer top end too. It also allowed for the use of a larger turbo for even more top end, because spool up time was no longer a problem. However this what on a full out drag car, I doubt it would be pratical for the street, but I can be done.
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1987 Buick T-type
1998 HD Electra Elide
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