Hi Aspirant,
I assume you are talking about Company Secretary(CS) course. Yes, you are eligible to pursue CS after graduation from BA Hons Political Science. The eligibility criteria for CS suggests that for CS Executive course a candidate should have passed Class 12 in any discipline (except Fine Arts) from a recognized university or equivalent. And the Graduates or Postgraduates are also eligible to apply. While for CS professional course only candidates who have cleared the CS executive course can apply.
For more information regarding this you can refer the link below,
https://www.careers360.com/courses/company-secretary-course
Hope this helps.
Good luck!!!
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