Yes you can do it. Go for elite B-schools that are well known for this course and can promise you good opportunities.

Hello,
It is good to you have completed your bachelor course and now you are interested towards that MBA course.Hospital Administration/Management is concerned with planning, organizing, staffing, coordinating, controlling and evaluating health services for the community to provide maximum care to patients.

There are many colleges in India where one can pursue the MBA course.I am listing below the best MBA colleges in Hospital Administration.You can see the list of college below:-

Top MBA (Hospital Management) colleges in India:-

T.A.Pai Management Institute
PGDM in Healthcare
Total course Fee (INR) : 9.5 L

Goa Institute of Management
PG Diploma in Healthcare Management
Total course Fee (INR) : 8.7 L

Prin. L. N. Welingkar Institute of Management Development & Research (WeSchool)
PGDM in Healthcare Management
Total course Fee (INR) : 7.1 L

SIES College of Management Studies
PGDM in Pharmaceutical Management
Total course Fee (INR) : 5.6 L

Chitkara Business School (CBS, Chandigarh)
MBA in Healthcare/Hospital Management
Total course Fee (INR) : 3.9 L

Hindustan University (HU, Chennai)
MBA in Hospital and Healthcare Management
Total course Fee (INR) : 3.7 L

School of Business Studies - Sharda University (SBS - Sharda)
MBA in Healthcare and Hospital Administration
Total course Fee (INR) : 4.5 L

Check this link for more information.

http://www.indiaeducation.net/management/streams/healthcare-management.aspx

I wish you all the best.

Cheers !!

Yes, you are eligible for the same as the candidate should have completed the Bachelor's Degree with minimum of 50 % aggregate marks in any stream from a recognized university for both the courses. Also, the admission criteria may vary college to college so it would be better if you could share the name of the college where you wish to get admission.

Good Luck!!!