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From GM's point of view; no. Then again, why should they pay for any damage the SC might do to the engine. Superchargers do cause stress to engine components, and added HP/Torque adds stress to the transmissions, axles, etc.
The trans used in the H3 has less of a torque rating than the 4L65E used on a Vette, and anything over 400 lbs of torque on that trans is pushing it, unless a trans upgrade kit is installed.
However, if a dealer arranges for the installation of the SC, chances are they will do one of two things:
One, make you sign a statement stating you understand the warranty may be voided by GM for certain components, or
Two, continue to service and never notify GM of any problems.
However, if out of town, and the engine goes, and you have to go to a another dealer, don't be surprised if they call GM for a warranty approval.
On my '97 Vette I waited until out of warranty and then went crazy, but what the heck, the powertrain was out of warranty anyway. I also had a 6-speed manual. If I had had the 4L60E (4L65E was released to the Vette in 2003), I knew I would have had to have the trans beefed or I would get a littering ticket for trans parts.

Someday, you might see GM releasing SC kits for certain vehicles to be installed by dealers. They sure are starting to release quite a few Superchargers and Tubos for many of their newer vehicles.

Good luck...