Yes, there are several government job opportunities for aerospace engineering graduates. Some of the top organizations that hire aerospace engineers in India include ISRO (Indian Space Research Organisation), DRDO (Defence Research and Development Organisation), HAL (Hindustan Aeronautics Limited), and other public sector undertakings in defense and aviation. These organizations offer roles in areas like aircraft design, space exploration, defense technology, and research. Government jobs in this field are highly competitive but also rewarding with excellent career growth and benefits.