Yes, but not without some injuries

The chase was chaotic for Kimihito. First, her pursuit of the motorcycling purse snatcher had her going at full speed, hanging on to her for dear life. The high speed turns meant he had to hold tight or he'd be thrown off.

Then the jackass managed to disturb a massive amount of water jugs (the kind you see upside down on water coolers). Centorea deftly defeated the obstacle... by slashing them apart with her sword! The splash of water was pretty cold, but the centauress (was that a word?) charged forward, in spite of the water soaking her blouse, letting him see every inch of her breasts, bouncing as she charged forward heedless of the danger. "Twas too easy!"

Immediately afterwards, the purse snatcher used his motorcycle to jump off a steep turn to a lower road! Kimihiro marveled at the insane lengths this purse snatcher was going for... right before Centorea jumped right after him, bouncing off a truck to lower the impact. She somehow managed to catch pace with his driving, holding her sword against his neck. She seemed to have apprehended him. Then she noticed Kimihito had grabbed hold of her breasts to keep from falling off. Naturally, she started flailing a bit, which resulted into in impromptu groping session for his life, right until-

RIIIP!

Her blouse gave way. The snatcher was so distracted he crashed into a pile of paint. KImihito tried to ask her to stop... but it turned out she was frozen in shock, her horse half running on autopilot and crashing into the same location right after.

Centorea was definitely concerned about what had just happened, having finally come to after the crash, but it seems the snatcher had managed to grab her sword in the chaotic aftermath. Kimihito couldn't just let someone die right in front of him, so to cap off the chaotic adventure, he jumped in front of the centaur girl and took the hit, thanking his recent wish for the increased durability. It seems the sword wasn't as sharp as he thought, giving him only a mild bruise as he tackled the guy to the ground.

"Sorry about this, Centorea..." He asked, tossing her his phone as he held the guy down. "But... could you call the cops for me?"