See if you are wiling to go for engineering or such professional fields in Diploma course and after completion of the course you can admission in UG studies. If you go in this progression then yeah! you are eligible for a government job as well. Now if you want to study UG without 12 or Diploma then its not possible as the basic eligibility is that the student must have 10+2 passed or have a diploma (this lateral entry isn't applicable for all courses).

I hope this answer helps. All the very best for your future endeavors!