Dear Student,
Yes, you can get admission to Girraj Government College without taking the ICET entrance exam. The college offers a number of UG and PG courses that are offered on the basis of merit, which is determined by your performance in your 10+2 examinations. The courses which are offered without ICET entrance exam include BA, BCom, and Bachelor of Library and Information Science (BLISc).
We see that you have tagged 'Education' stream. If you want to join B.Ed, Diploma qualification is not enough and you must have a Bachelor's degree.
Which course do you exactly want to join in Girraj Government College Nizamabad? Please mention the name of the course so that we can provide the exact information.