Sir my ews rank is 12871, can I get NIT Surat based on home quota in chemical engineering?

With the above mentioned quota, yes there is slight chance that you will get your home state quota. However, for good prediction you can follow https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Hi, Although chances are very low with this rank in JEE Mains to get a seat in NIT Surat. But I will suggest you to participate in the counselling. If you are lucky enough, then you might get a seat in last round for chemical. You should predict other possible colleges here: https://www.shiksha.com