Can I get into NIT Calicut MBA with 87 percentile in CATs. my academics go this way 84.18% in 10th, 51% in 12th, 67% in UG, workex 13 Months

It can't be guaranteed but you have high chances of selection but other then academics you have to also clear other selection process required, which are, Bachelors Degree from a recognised University or Institution, on a full time basis with minimum 60% marks (or CGPA 6.5/10) for GEN/GEN-EWS/OBC an