Hello Rahul Gupta. Thanks for contacting Careers360 and we hope we will be able to answer your query. 

"Yes", you can apply to Anna University. My cousin sister studied in Delhi, and still got admission in Anna University, so I feel I will be able to help you in this regard. 

Note that there are always some seats allocated to Anna University for Outstation students. The application procedure is generally online and takes place around the month of June.

I would advice you to look at this Quora question for more information about the application process of Anna University:

• https://www.quora.com/How-can-non-Tamil-Nadu-state-students-apply-for-Anna-University-and-affiliated-universities-Whats-the-eligibility-criteria

Hope this helps you and all the best!