Hello,

If your query is regarding whether you can appear for UGC NET after BA English(Hons), then the answer is No,

In order to appear for UGC NET, candidates need to have passed Master's Degree with 55% aggregate, in case of reserved categories there's relaxation of 5%. You can also appear in the final year of post-graduation.

If you're interested to appear for NET, then you have to complete your master's degree in English, or you can appear in the final year of your's masters as well.