Is 350whp from an HKS supercharged F22C just too much for the S2000 chassis to handle?

2007 Honda S2000 mod list:
JRZ RS Pro 3way revalved by Shaftworks 16kg/14kg
Karcepts front sway
AP1 rear sway
Apex SM10 18x11+52
285/30R18 rt660
HKS supercharger
Setrab 25 row oil cooler
Koyorad
Full spherical bushing
Front/rear aero
Ballade exhaust
OS Giken LSD tuned by Shaftworks with 4.3 final drive
Stoptech BBK

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