I am pursuing B.Tech in biotechnology. Am I eligible for MBA in healthcare and hospital management?

Sure. You should prepare for CAT or GMAT for foreign countries.

Yes ,you are. The prospective applicant must satisfy one of the following eligibility criteria for admissions to the MBA programme. A graduate degree under 10+2+3 or 10+2+4 pattern under any discipline, securing at least 50% marks in aggregate, from a recognized university.