Hello,
Yes, you can do a mass communication course along with BBA LLB. BBA LLB is itself a good course in the field of Law but if you are ready to manage both the courses then you can opt for it. Law plays a major role in Journalism as it works under the Constitutional protection of freedom of the press which helps journalists to work freely. A career in media has a good score. You get a chance to be a legal expert in a particular field. Legal education helps to improve your writing, narrating, and research skills .lawers are needed in journalism because they are aware of the laws as the public needs to be educated about our legal system. There are many online courses in journalism and their duration differs from course to course.
Hope this will help you, All the best!!