Yes, it is possible to get admission for BA LLB without appearing for CUET (Common University Entrance Test).
Some universities and colleges might still conduct their own entrance exams or base admissions on merit ( Class 12 marks) for BA LLB programs.
Private colleges might have a specific quota of seats allocated for management quota admissions. These seats don't necessarily require entrance exams, but selection might be based on factors like an interview, previous academic record, or donations.

https://university.careers360.com/download/ebooks/all-about-cuet

I hope it helps!