IGNOU - Indira Gandhi National Open University

Yes, you can go for MA program even after graduating in BSc (PCM).
MA is a postgraduate academic degree that is awarded in a non-science subject. An MA is a 2-year degree program that can be done in subjects like English, Hindi and any regional or foreign language.
The basic eligibility criterion to be fulfilled by students for applying to MA course is completion Bachelors degree in any stream. Admission to the course is based on entrance exams along with merit obtained by students in Bachelors degree. However the eligibility may vary from university to university.
Eligibility for Master of Arts (MA)
Interested aspirants who wish to pursue Master of Arts degree must fulfill the below mentioned eligibility criteria:
Pass with a minimum of 55% aggregate marks at graduation level.English needs to be one of the mandatory subject at graduation level.Graduation must be done from a recognized college.Entrance Examination can be conducted by university as well.
Some of the colleges for pursuing MA are :
Lovely Professional University, JalandharLoyola College, ChennaiChrist University, BangaloreFergusson College, PuneStella Maris College, Chennai

IGNOU 2020 Admission Procedure will be started after the declaration of the result. IGNOU (Indira Gandhi National Open University) is one of the famous university of India. The university conducts various university level examinations for admission to the UG, PG & Other courses. These courses are offered in the field of Science, education, management, commerce, etc. Check this article to get complete details about IGNOU 2020 Admission Procedure.
After result announcement, qualified candidates have to fill an application form for admission (Form 2) at the concerned regional center. The admission form will be available through online mode. Candidates have to bring result card, identity proof & all other relevant documents. Candidates are advised to keep a print copy of the application form submitted to IGNOU. The admission to the management courses (MBA & specialisation PG Diploma in HRM, OM, FM, MM & FMP) will be based on the score secured in the OPENMAT exam. IGNOU 2020 Cut-Off will be released by the IGNOU University. It is the minimum marks decided by the University for providing admission into various courses. Candidates will have a choice to get admission in any of the two subsequent semesters, I. e. one who passes in August 2019 (OPENMAT) can get admission in January or July 2020 semester. Similarly, Candidates those qualify in February 2020 (OPENMAT) will be eligible for seeking admission in July 2020 or January 2021 semester. The admission will be offered to all candidates those attaining the IGNOU cut-off score & above.

Eligibility Criteria to Appear For NIMCET-2019 is given below :-
Eligibility criteria : Indian Nationals securing at least 60% marks in aggregate or 6.5 CGPA on a 10-point scales (55% marks or 6.0 CGPA on a 10-point scale in case of SC/ ST) in (I) B.Sc. / B.Sc. (Hons) / BCA / BIT / B.Voc. (Computer Science/ Computer Applications) of minimum three years full-time from a recognised University with Mathematics/ Statistics as one of the subjects. Or (ii) B.E. / B.Tech. From a recognised University
So NIMCET required the full time degree, hence you are not eligible for NIMCET. Please see NIMCET brochure for more details. https://www.nimcet.in/documents/Information-Brochure-NIMCET2019(1).pdf.