D.El.Ed

No, you can not do D. El. Ed. Before completion if graduation degree. After completing your graduation, you can do this course.

Check this link:- https://www.shiksha.com/teaching-education/colleges/d-ed-colleges-Delhi-ncr

You should go for B.Ed course.

These both are two different line but u can go for d. El. Ed.

No, you cannot enroll in two degree course at a same time.

Hello Mehak,
If you want to be an elementary school teacher, you have to do ETT (elementary teacher training), which is of 2 years. You can also do B.Ed, if you are willing to become a teacher for secondary classes. If you want to become a lecturer in a college, you have to do post-graduation. Thank you.