Yes..you can still get some of the Tier2 and below NITs.
Here are some of the NITs along with the engineering branches that you might get till the last round of counseling
For more details you can refer to our college predictor and check out for some of the IIITs and GFTIs that you can get as well.
https://engineering.careers360.com/jee-main-college-predictor
All The Best
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