Yes, you are eligible for the National Eligibility Test after completing the MCA degree, as it is a master’s degree program. The eligibility conditions for the National Eligibility Test are as following:

Eligibility for NET:
The applicant should have secured at least 55% marks in Master’s Degree OR equivalent examination from universities/institutions recognised by UGC

Subjects of NET:
Museology & Conservation
Odia
Tourism Administration and Management
History
Home Science
Dogri
Indian Culture
Marathi
Education
Economics
Sanskrit Traditional Subjects (including Jyotisha/Sidhanta Jyotisha/ Navya Vyakarna/ Vyakarna/ Mimamsa/ Navya Nyaya/ Sankhya Yoga/ Tulanatmaka Darsana/ Shukla Yajurveda/ Madhva Vedanta/ Dharma Sastra/ Sahitya/ Purana-itihasa/Agama/Advaita Vedanta)
Library and Information Science
Telugu
Geography
Criminology
Konkani
Russian
Arab Culture and Islamic Studies
Prakrit
Labour Welfare/Personnel Management/Industrial Relations/ Labour and Social Welfare/Human Resource Management
Buddhist, Jaina, Gandhian and Peace Studies
Population Studies
Tribal and Regional Language/Literature
Malayalam
Environmental Sciences
Linguistics
Defence and Strategic Studies
Performing Arts – Dance/Drama/Theatre
German
International and Area Studies
Public Administration
Chinese
Pali
Sociology
Arabic
Sanskrit
Anthropology
Rajasthani
Music
Visual Arts (including Drawing & Painting/Sculpture/ Graphics/Applied Art/History of Art)
Social Medicine & Community Health
Tamil
Kannada
Women Studies
Bengali
Spanish
Punjabi
Gujarati
Comparative Study of Religions
Manipuri
Forensic Science
Hindi
Management
Political Science
Archaeology
Electronic Science
Adult Education/ Continuing Education/ Andragogy/ Non Formal Education
Persian
Computer Science and Applications
Mass Communication and Journalism
Commerce
Human Rights and Duties
Social Work
Kashmiri
Urdu
Physical Education
Law
Japanese
Nepali
Folk Literature
Psychology
French
Assamese
Philosophy
English
Comparative Literature
Maithili
Bodo
Santali