No , I don’t think that is ever going to be a problem for you.
See it basically depends on how skilled you are, how many amateur projects you have done, whether or not you have done any internship will a production company/theatre group/event management company etc.
So your credentials count , not your University/Institute.
To give you an example, a mass communication guy I knew in Amity now works for Ashutosh Govarikar’s production company. Then there is Love Rudrakash , the YouTube guy, didn’t know him personally but he was the class mate of the guy I just mentioned above.
And the biggest and best example is Himansh Kohli, the protagonist of the movie Yaariyan. He is Alumnus of Amity school of mass communication.