Yes, Indira Gandhi National Open University (IGNOU) offers a PhD program in Political Science that can be pursued through Hindi medium.

One of IGNOU's objectives is to provide educational opportunities through Hindi and other Indian languages.
IGNOU offers PhD programs in various subjects, including Hindi, through Hindi medium. Political Science is likely one of them.

https://www.careers360.com/university/indira-gandhi-national-open-university-new-delhi

I hope it helps!