It's theoretically possible for a 2UZ-FE (VVTI or non-VVTI) using an Elate supercharge manifold and a Eaton M90 or M112 supercharger (the later was stock on the 4.6 Mustang Cobra in the '00's and can be found easily):
** If out of stock please allow 4-6 weeks from the date of order until the item is ready to ship .** This is ELATE's first low mount manifold to suit the 1UZ, 2UZ and 3UZ VVTI v8 engine with an integrated W2A intercooler core. The manifold features a unique 2 piece design which has helped us...
elatemfg.com
Speed Academy did a build on a similar VVTI 3UZ on their YouTube channel:
Thanks to Vibrant Performance's impressive catalog of off the shelf fabrication parts, this build was finished in surprisingly simple fashion.
www.clublexus.com
Personally I think it seems like a interesting mod and does not seem unobtainable, but it's far from a bolt on, and it seems like there is a major lack of (or even no) ways to tune the factory ECU to run the supercharger. It would be a fun project for someone with some moderate fabrication skills and the patience to figure out the engine management. I also think a transmission valve body upgrade would be in order, the OEM transmissions in these shift too lazy for 270 HP and would be over-matched by the supercharger.