I am assuming that you are asking about the UPSC Civil Service Examination. If that is the case, then your graduation shouldn’t come in your way of clearing the exam.
In fact one of the best Collectors that we have in the country currently, N Prashanth, popularly called Collector Bro, is an LLB graduate from the University of Kerala. There are a lot of other examples of LLB graduates clearing the CSE Exam with flying colours.
So don’t let yourself be bogged down by unnecessary doubts.