Can I pursue law after completing B.E?

Yes, you can do a law degree after the completion of your BE degree for law you have to complete LLB for being lawyer. You have to join 3 year LLB programme form any institute. You can also do BA LLB, BBA LLB and others and after your graduation you can do some other law course like LLM certificate

Yes, you can do a law degree after the completion of BE:

LLB
You can join a three-year LLB programme after the bachelor's degree in any discipline to specialize in law. 
Integrated Law Degree
You can also do an undergrad in any other field with the possibility of doing a five-year integrated LLB. You ca

Yes, of course, you can do a law degree after you have graduated in Engineering. And there are many areas like intellectual property law, technology law, and corporate law where these two areas go really well together.

You will need to take the Law School Admission Test, or the equivalent exam the la