Can someone with below-average academics get admission in TAPMI?

Yes. If you've made it beyond the cutoff and have a diverse enough resume to impress the interview panel, you should be able to nail the admission interview.

One of the few fields where your prior academic performance can be disregarded is the MBA. Academics are undoubtedly taken into account, but if you can support your lack of marks with other interests, projects, and value additions to your profile, it won't be held against you as much as in entrance exams for other degrees.