Yes that would be the Insane difficulty mode, for sure lol. You can always check out the info provided with the hack package that shows the monster data to be sure. Honestly I don't think it can be done without New Game +, that first Pincer battle is too much... unless some serious luck, and then who knows beyond that! The Hard Difficulty from the start is still something to brag about if you can muster it, I would think.
We are born, live, die and then do the same thing over again.