Can we apply for BA LL.B without giving any entrance exam?

Most of the colleges or universities that offer courses in law have their own entrance examinations. There are very few colleges which take admission through academic cut off too and there are multiple universities from where you can do 5-year LL.B. Like IILM University Gurugram offers BBA LL.B. & B

The good universities do not enrol students without an entrance because of the huge demand. You can still try for the local colleges.