No, but he wasn't able to save it without getting
Enterprise snared by the Romulans and unleashing a hijacked
NX-class starship upon the Coalition.
So, he saves the
Kobayashi Maru...but gets
Enterprise captured, and the
Kobayashi Maru probably gets destroyed just 'cuz. Or he abandons the
Kobayashi Maru, and gets it and its important cargo (for a Vulcan spy outpost or something. The cargo doesn't really matter, except that it's important, and that
Enterprise has been specifically tasked with keeping it safe) destroyed, and goes home in shame and embarrassment, the symbol/icon of the new Coalition of Planets, a starship whose missions will be remembered in history (

)having been unable to defend a civilian freighter from harm during what should have been a simple cargo hauling mission, casting doubt and fear to be sown in the Coalition, which can ultimately be just as if not more effective at pushing the Coalition towards dissolution and inability to respond to Romulan aggression.
No matter which choice you make, you still lose.