Distance/Correspondence

Hi,
Eligibility
Candidate must be a graduate from a recognized college /university.
Admission Process
Interested candidate can apply directly to the college.
https://www.shiksha.com/mba/course/masters-in-business-administration-mahatma-gandhi-university-kolkata-158880

No, it is not possible to join Diploma through distance directly in second year. You can join regular Diploma in 2nd year, not the distance one.

Hi Nisha,
You can pursue a correspondence course in diet and nutrition from the following open Universities:
Indira Gandhi National Open University (IGNOU)
Dr. B R Ambedkar Open University
Maulana Azad National Urdu University
Nalanda Open University
Bangalore University
Karnataka State Open University (KSOU)

Yes, you can join lateral entry in BCA in Directorate of Distance Education, Madurai Kamaraj University . Check out the detailed eligibility and other details below:
https://www.shiksha.com/it-software/course/b-c-a-lateral-entry-direct-2nd-year-directorate-of-distance-education-madurai-kamaraj-university-287511

Bharti Vidyapeeth is a good university to pursue MBA. Their study and placement records are good and average salary offered is 5-6 Lacs and also it is one of the reputed universities in India.

Why to go Distance? If you really wants to do MBA then go for regular course then only you will be able to develop yourself in better way. Go for CAT/MAT exam and do a regular MBA. If you don't have option of doing regular then only choose distance education.

No universities offer distance course in the subjects you asked for. If there is any, then it is not reliable, because M.Sc in the above subject has lot of practical work.