Definitely . You can go like this way.

Actually minimum eligibility for pursuing upsc is only graduation, whether it is any course or from any college. You can either prepare for upsc after the graduation or side by side your graduation if you are capable to manage both the studies.

Also, it is an advice for you to choose that course for graduation which is related to the optional subject you are going to choose for upsc. It will be easier to you because most of the topics would be covered during graduation.

Don’t waste your time by putting all the efforts in your graduation course, put your main focus on upsc because it is too vast and start preparing from now by reading books and current affairs.