Yes, you can. Huazhong Normal University is a full-time undergraduate college. Henan students, as publicly-funded normal students, receive tuition and living allowances during their school days. You can teach in primary and secondary schools all over the country after graduation. Therefore, if you are a Henan student majoring in English for normal students at public expense in Huazhong Normal University, you can teach in Zhengzhou after graduation. Of course, whether you can teach in Zhengzhou needs to be further understood according to relevant recruitment policies and conditions.