Hello aspirant,

Yes,you can pursue BBA without sitting in entrance test.Some college also offer BBA course on basis of merit.
Colleges offering BBA degree:

1 Thakur College of Science and Commerce, Mumbai

2. Sikkim Manipal University Distance Education

Delhi

INR 83,700

3. Shree Guru Gobind Singh Tricentenary University


4. National Academy of Event Management & Development

5. Ggdsd college, Chandigarh

Hope this answer is helpful for you.