It depends on your percentile, essentially. If your profile is great, then no reason why you shouldn't get a call at 98+ percentile in CAT.
Excellent academics can definitely add to your advantage while getting shortlisted for IIM Calls. Also, given you are a non-engineer, that will add extra points. But, the most important thing to get a call from any of the good BSchools is clearning the sectional cutoffs as well as having a good enough overall percentile. So your chance ow depends completely on your sectional ad overall percentile. Give that your best!