NIT Patna - National Institute of Technology

Yes there are possibilities of getting into NIT Jamshedpur if we consider the data you provided.

With an EWS rank of 9600, you have a good chance of getting into NIT Jamshedpur or NIT Patna, but it depends on the specific branch you're interested in.

Both NIT Jamshedpur and Patna offer various engineering branches, and their cutoffs vary. Given your EWS rank, you may be able to secure a seat in some of the less competitive branches at NIT Jamshedpur, and potentially in some of the more competitive ones at NIT Patna. 

140 marks in JEE Main often converts to approximately 75–85 percentile, depending on exam difficulty.

This likely corresponds to a JEE Main All India Rank (AIR) in the range of 40,000 to 60,000

• unless your percentile is much higher than estimated (i.e., < 20,000 AIR).

• With 40,000–60,000 AIR range, CSE admission becomes highly improbable under both All India and Home State quotas.