No, ANNA University doesn't have it's own B.Tech examination. Tamil Nadu Engineering Admissions is organized by Anna University.  The candidates can get the admission on the basis of class 12th board exam percentage.If you could manage good marks then there are lot of chances to get a seat in Anna University Campus itself.

To get ay more details about the university you can refer to the following site:

https://www.careers360.com/university/anna-university-chennai