No, You cannot take M.A. in Journalism at Calcutta University without an Entrance Examination. Admission is through counseling based on the marks obtained in Calcutta University Entrance Exam.
The eligibility criteria for MA in Journalism at Calcutta University are as follows
To get admission to the course, students are required to clear entrance exams conducted by respective colleges and universities. Calcutta University too conducts its own entrance exam and unless you clear that, you cannot get admission to MA Journalism.