I have got 91.47 percentile in jee main and I m under EWS category. My rank is 95990 and category rank is 11960.Can I get NIT?

With your rank and percentile, you have a chance at some lower tier NITs like NIT Karaikal, NIT Jamshedpur and NIT Hamirpur. The cut offs for courses like CSE are higher, so you have lower chances to get a seat in CSE. However, since you are also a reserved category student, you have a fair chance for branches like Electrical Engineering, Mechanical engineering and Civil Engineering.
You can use the rank predictor tool to get and exact info on the NITs you might get.

https://engineering.careers360.com/jee-main-college-predictor?icn=jeemain-cp-qnasticky&ici=sticky

Hope this helped. Good luck.