No, you are not eligible to appear for the NEET exam if you do not have English as a core subject in Class 12. As per the NEET eligibility criteria set by NTA and NMC, candidates must have passed:

• Physics,

• Chemistry,

• Biology/Biotechnology, and

• English as core subjects in 10+2.

English is compulsory, and you must pass it along with the other three main subjects. Even if you score well in PCB, not having English as a core subject will disqualify you from the NEET exam.

If you've made a subject selection error, you may consider switching to English through open schooling or other recognized boards that offer core English.