Assuming youre from General Category or even other Categories you would perhaps have negligible chances in securing a seat in Chemical Engineering at any NIT, with a Rank of 166k in JEE Main. However, you may have slightest of chances depending on your Category, or if your Home State NIT is perhaps one of the lower, new or North east NITs. You should perhaps target State Engineering Colleges and Private Universities accepting JEE Main Scorecard for Counselling and Admission purposes.

For more information and College Prediction do follow the link below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer