Yes Chemical engineers get good GOVERNMENT jobs too. But as there is lots of competition in today's world, you need to be one among the top. Lots of GOVERNMENT multinational companies by default need chemical engineers with them like Indian Oil Corporation Limited, Hindustan Petroleum Corporation Limited, Reliance Petrol Limited, Gas Authority of India Limited, etc.

Kindly Refer to the link below for more detailed information..

https://www.careers360.com/careers/chemical-engineer

Best wishes. Thank you.