I did my intermediate in 2013, can I pursue my graduation now with 4 years gap?

You can get through with some private colleges and through distance education. I would suggest you to inquire from some colleges and to get started, I am listing names which you should look for: 1) IILM at Gurgaon - http://college.iilm.edu/ 2) IILM at Delhi - http://ubs.iilm.edu/