Hahaha, no!

Bakugo and Izuku stared each other down for a moment, before Bakugo blasted forward. "DIE!" he roared, leading with a right hook... Which Izuku recognized, and ducked, grabbing Bakugo's arm and flipping him, slamming him down onto the floor, very briefly channeling four percent of One For All in his arms at the moment of his flipping for maximum impact with minimal kickback.

His arms immediately throbbed in some pain, and he mentally cursed himself a bit. He'd overestimated how much he could currently handle for short bursts, he should have stuck with three percent for the short burst with a consistent two percent instead of getting greedy, and now he was paying for it. He quickly jumped back, but before Bakugo could get up, Todoroki quickly froze him to the floor.

"Think this will hold me!?" Bakugo roared, letting off another blast, managing to shatter the ice pinning him, though he grimaced at the shockwaves rebounding off the ice for a moment and going through him. His natural resilience to his own explisions had its limits. Still, he got up, too stubborn to quit. He blasted himself towards Izuku, intending to feint and change his momentum with a well timed explosion, only to go face first into an ice wall Todoroki put up. "Gah!" he recoiled from the impact.

Todoroki then took another step with his right foot, spawning a wave of ice that engulfed Bakugo. Bakugo again blasted his way free, though the effort exhausted and hurt him. Before he could do anything else, Izuku blitzed him, punching the side of his head and sending him sprawling to the floor. This time, Izuku stuck to three percent for the moment of impact, though doing so still hurt his own arm slightly, compounding the damage done by his earlier use of four percent. Bakugo, unwilling to stay still, used more blasts to move around, trying to make himself a moving target, as well as heat himself up. His sweat was having difficulties coming out with all the ice Todoroki was throwing around. It had made breaking out twice far more difficult than he'd have liked to admit, and he knew that a third time would be impossible unless he could sweat enough before then.

He sent a weak blast at Todoroki, who blocked with an ice wall, and thinking that would obstruct Todoroki for now, turned his attention back to Izuku, reaching to pull the pin on his gauntlet, not even bothering to explain in his rush to get off the blast. Unfortunately for him, Todoroki simply scated up his wall with some more ice, and froze him from above.

"...damn you!" Bakugo roared, straining, and failing to free himself. Todoroki had even noticed him going for the pin in his gauntlet, and frozen said pin firmly in place so it couldn't be pulled, even if Bakugo managed to get loose enough to reach it with his other hand. "Let me out! I'll kill you!"

"...seems he's stuck this time," Toodoroki said, though cautious.

"His explosive Quirk works by setting off his sweat, which works like nitroglycerin," Izuku summed up. "He probably can't sweat enough anymore with how low the temperature is..."

Bakugo ground his teeth in rage as Todoroki nodded, and they looked at him, before Todoroki asked in a comm link, "All Might, I know we technically didn't put him in the capture tape, but would you say he's sufficiently subdued to remove him from the exercise and call him captured? I'd rather not leave him in there long enough to get frostbite."

"Yeah, Recovery Girl would have our hides," Izuku's shiver had nothing to do with the cold.

"Go ahead! I'll consider Young Bakugo eliminated at this point!" All Might agreed through the comm link.

"Like hell! I can still fight!" Bakugo roared.

"Only if you can free yourself, which you clearly can't," Todoroki drawled, placing his left hand on the ice. Almost immediately, the temperature began to warm up as the ice melted, freeing Bakugo. "And the teacher has spoken. Step outside."

Bakugo looked very much like he wanted to argue, but with a snarl, he turned on his heel and stormed towards the entrance.