Yes it is possible.
Firstly, you need to be eligible for various MBA exams and for that in general you need 50% in your graduation for general category and 45% for other reserved categories.

Some of the top MBA exams are:
CAT
MAT
XAT
CMAT
NMAT
You can check there criteria in the links attached above.

Also to check what all management exams are there check the list below:
List of MBA Exams

The applications have already started for CAT and XAT exam.

Once you clear these exams then you will get admission in the management colleges based on your percentile. You need to get percentile above 99.6 to get into top IIM's through CAT.

Some of the top IIM's and their selection process are:

IIM A Selection Process
IIM B Selection Process
IIM C Selection process

You should be aware of the syllabus and updated pattern of the exam you are planning to give.
Do not give just one exams. Keep a back up.

Hope this helps.
All the best!