Will accident case affect my career?

Only offences involving moral turpitude affect the prospects of government jobs. An accident is an accident it does not involve any moral turpitude. It will in way affect your selection for any government job.

https://www.kaanoon.com/328266/impact-of-motor-accident-case-on-job-application#:~:text=Only%20offences%20involving%20moral%20turpitude,selection%20for%20any%20government%20job.