Is there a chef school in Kaifeng that doesn't charge tuition?

No, there is no chef school where you can study for free. You have to pay a certain fee to study normally. Kaifeng, formerly known as Bianzhou, Bianliang and Bianjing, is a prefecture-level city under the jurisdiction of Henan Province and one of the central cities in the central area of China Central Plains urban agglomeration approved by the State Council.