Can a BBA graduate do MA in German language?

Yes, you can definitely do an MA in the German Language after completing your BBA. However, if you are planning to finish the BBA program next year, I will advise you to start preparing for your application process immediately.

I have included some important requirements that might make your admission process a tad bit easier.

• A versatile academic profile with excellent scores 
• A good extracurricular background 
• Noteworthy internships 
• Some stellar Letters of Recommendation 
• A great Statement of Purpose 
• You will have to sit for entrance exams like GRE, IELTS, and TOEFL
• Last and most crucial is a German language certification

So you need to work on many things and only starting right away will make it possible for you to achieve your goal.