Is it possible for me to get into BLACKI with this profile?

I am a law student at DU entering 4th year and have recently been exploring the possibilty of joining an MBA programme after graduation. However, after perusing a few sources it's evident how low grades and a lack of work experience can act as detriments. I scored 91% in 10th, 92% in 12th, and my college percentage is averaging around 68-70%. I wanted to know whether it is even possible for me to get into BLACKI IIMs and only then start seriously preparing for CAT alongside college. I'd appreciate an honest evaluation of my profile as I've enough trauma from law school and don't want to pursue something that isn't even possible in the first place.