Hello Rajat,
It would be great if you could tell the name of the college where you plan to your MA in Political Science from. However, generally talking about the course, students from any stream can pursue MA in political science. You need a minimum of 45% to 50% marks in your graduation (The minimum percentage differs from university to university). So yes, you can pursue MA in Political Science, even though you have a background in management.
Hope this was helpful and all the best