Hello aspirant,
Yes, of course you will get government job by becoming software engineer.
The eligibility for government jobs :

• Academic qualifications :

The candidate must score minimum 60% marks throughout academic career.

• Study gap :

Maximum 2 years of study gap is allowed here.

• Backlog criteria :

No pending backlogs are allowed here.
If you have any questions please let me know
All the best!
Thank you!!!!