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Yes. You can acquire as many degrees as you would want to, but then you should possess minimum qualifying percentage for the course of study. MBA colleges in India are either accepting admissions through entrance exams or without any entrance exams.
I would make it even easier for you by sharing few colleges which accept direct admissions-
K. J. Somaiya Institute of Management, Mumbai.
S. P Jain Institute of Management, Mumbai.
Jamna Lal Bajaj Institute of Management, Mumbai.
L. N. Wellinker Institute of Modern Management, Mumbai.
Symbiosis University, Mumbai.
Narsee Monjee Institute of Management Studies.
It is not restricted to these, there are many more prestigious institutions which accept admissions without entrance exams.
All the best for your future studies.

Considered as the mother of all MBA entrance exams, Common Admission Test CAT is the biggest MBA entrance test in India leading to admission at more than 5000 seats in all the 20 Iims including IIM Ahmedabad, Bangalore, Calcutta, Lucknow. Apart from the 20 Iims, hundreds of top MBA colleges including FMS Delhi, SPJIMR Mumbai, JBIMS Mumbai, MDI Gurgaon, IITs, IMT, IMI, XIMB, TAPMI and others accept CAT score as their key admission criteria. The exam is conducted by Iims in the month of November/December and is a yearly exam. Applicants for CAT have grown to more than 2 Lacs during past 3 years and going by the past trends, it is expected that more than 2 Lacs candidates will register and apply for Common Admission Test CAT 2018 also. CAT therefore offers a stiff competition for admission to top MBA colleges accepting CAT. Over the years the candidates applying for CAT aptitude test leading to IIM admission have been increasing year after year as the data for past CAT exam released by CAT convening IIM Ahmedabad, Bangalore, Indore, Lucknow and other Iims reveal this fact.