Vellore

Hello Abhishek, it's almost impossible to shift from one university to another university. As I understand both these institutes are deemed to be universities and also known for good academic and reasonably good placements. In addition, your present institute may not leave you since you are a psying candidate and they will not like to lose 1 paying candidate. In view of this I would advise you to quit the present institute and apply ab-initio to VIT in the next admission cycle.
Best wishes to you.

Keeping the placement statistics and NIRF ranking of VIT in consideration. You have to continue in VIT Vellore in CSE. The placement statistics of VIT is given below for an idea.
1. The highest CTC : 41.6 LPA
2. Average CTC: 7.25 LPA
3. No. Of offers : 7027
4. Total no. Of companies : 544
5. No. Of New Recruiters: 203.

In my suggestion, VIT Vellore.

To grab the admission in VIT you can you clear their entrance exam or you can use management way.