No, it's impossible to get any branch at NIT Kurukshetra with a rank of 65k even under the Home State Quota as a general category student. The least preferred branch Production and Industrial Engineering closed at 45351 this year. So it's not possible to get into with a rank of 65k. Other options you can consider instead include, the YMCA, Faridabad. Other options to consider with your rank are
Institute |
Branch |
NIT Goa |
Civil Engineering |
NIT Hamirpur |
Civil Engineering |
NIT Hamirpur |
Mechanical Engineering |
NIT Raipur |
Civil Engineering |
Hope this helps!