Part Time MBA

Yes, you can. Please refer the institute website for further details:
http://www.welingkar.org/pgdm/pdf/Admission_document_PGDM_2018_notification_for_website_PM.pdf

The government has now asked all the public and private companies to consider the degree obtained by distance and part-time mode.
Secondly, Symbiosis is one of the best institutes providing a stance MBA, you will definitely benefit from it,
Any education whether it is distance or regular, it will increase your understanding to the particular subject.

For pursing part-time MBA, one needs to have work experience of minimum 3 years so you should first start working and post completion of 3 years work experience explore part-time MBA/ distance MBA or Executive MBA. Ideally, one should try and pursue MBA from the top 20 MBA institutes.

MBA programs in UK are of around 1.5 years duration. It also involves an internship of 3/6 months.

For pursuing part-time /correspondence MBA, you need to fulfil the following conditions:
1. You need to be a graduate with a minimum of 50% marks.
2. You need to have a work experience of minimum 3 years in case you are gainfully employed then another option that you can consider is Executive MBA.

Yes, you have time to apply for MBA in HR.

https://www.shiksha.com/mba/colleges/part-time-mba-colleges-Delhi-ncr
There you go.

All courses are open for both men and women in this institute. In part-time MBA course, candidate's doesn't get benefits of placements as they are working professionals.

If you cannot attend the regular classes in a college, a distance education MBA is the right program for you if you want to make your career in the field of business management.
An MBA is the most demanded post graduate degree program in India. More than 5, 00,000 students complete an MBA degree program each year and this number is increasing each passing year.
List of Distance/Correspondence Colleges offering MBA are,
IMT, Ghaziabad
Symbiosis Center for Distance Learning (SCDL) Pune,
IGNOU,
ICFAI University,
And, many more are there.