No, it isn’t mandatory to have a bachelor’s degree for Master’s in Graphic Designing from a foreign university.
You’ll have to show to the institution that you possess expertise and understanding of this field. For this, you’ll have to present a portfolio of all your work in Draphic Designing as part of your application.
But instead of a Master’s in Graphic Designing, I would recommend you get Adobe Creative Cloud, and clear the certification of Adobe Illustrator. By doing so, you’ll start earning 30-50 grands per month in India.