Hey,

The answer to your question is a big YES. Delhi University offers courses in the field of BA and Bed. Although the criteria for both is a bit different.

For BA there is no exam conducted, students are admitted on the basis of marks scored by them in 12th class. If they meet the cut off of a particular college they will get admission.

https://university.careers360.com/colleges/list-of-ba-degree-colleges-in-new-delhi

The link contains colleges of DELHI  offering BA with their fee structure.

For Bed , entrance exam is conducted and students clearing the exam are given the admission.

Hope that helps.

Thanks