Hey,
Well,Yes! You can take admission in BA LLB after 12th through CLAT.
CLAT or Common Law Admission Test offers five years integrated course of BA LLB at undergraduate level and LLM at postgraduate level.
You need to ace CLAT entrance exam for getting admission to five years integrated programme.
Other entrance exams that could be aced for attaining five years integrated programme are:
AILET-NLU Delhi
LSAT India
You can go through the link given below for the detailed information about the colleges offering five years integrated programme in law(BA LLB):
https://law.careers360.com/articles/9564-law-entrance-tests
For detailed information about CLAT follow the link below:
https://law.careers360.com/articles/clat-exam-pattern
Hope this helps.
Good luck.