Distance

As of now there is no exclusive institute for digital marketing in distance. But, most of the courses are allowing digital marketing course in their curriculum.

Dear,
Yes, you are eligible because as per the eligibility criteria, one should have a Master's degree in relevant stream with a minimum of 55-60% ( percentage bar could vary from university to university).
And you have to take a test and face an interview in respect to the university admission process.
You need to take the same for the particular University in which you want to apply.
All the best.

Hi,
Yes, you can pursue because there is no percentage bar in correspondence mode but you need to consider these programme too for your education.
Psychology
Development studies
Master of social work
Travel and tourism
Foreign language
Yoga
Journalism
Advertising
Digital marketing
So, choose the programme according to your caliber and interest.

You may refer to the following link for all the information required about MBA through distance:
https://www.shiksha.com/top-10-institutes-for-distance-correspondence-mba-article-6301-1.

You may also look at doing Executive MBA from any of the IIMs.

To do MBA you should have minimum 50% in your graduation. If you belong to SC/ST then you will be required to maintain minimum 45% in your graduation. Therefore, check your graduation score.