Yes, it is possible. BA Lateral admissions are offered are only by a few colleges like galgotias, Anna university, Karnataka open university, and so on.
Please check their official website for additional requirements.
For BBA: LPU, Symbiosis Indore offer lateral entry admissions for BBA candidates
The minimum eligibility criteria are to have at least 50% percent marks in the diploma.
For additional requirements, you can check this direct link.
I hope this helps!