Can I get into IIM with 65% in 12th?

Admission to the IPM program offered by IMs is done on the basis of an entrance exam called the Integrated Programme in Management Aptitude Test (IPMAT). This exam is taken after completing class 12th.

For this entrance examination, your 10th and 12th class marks matter but only slightly. In the interview round, you will be evaluated on the basis of your academic performance as they might ask questions related to it. 

The basic eligibility for this entrance test is a minimum of 60% aggregate marks in your class 10th and class 12th. So yes, you can get into IIM with 65% in 12th.