Hi mayank!
Yes, you can give law exam. But there are some sets of important things you need to keep in your mind.
Firstly, now CLAT is conducted for law aspirants. CLAT provides you admission in an integrated law course, that is, BALLB /BBALLB/ BCOMLLB.

Though, if you clear clat, admission would be granted after checking your 12th result, that whether you scored atleast 50% marks in your 12th standard or not.

CLAT forms are out on 1st jan and the deadline to fill forms is 31 march 18. It's available on official clat website.

http://www.clat.ac.in

For anymore queries feel free to revert back.
If you like the answer kindly upvote.

Goodluck!