Based on your post, I think you can have an interview and get an internship with MBB!
Networking can be highly beneficial to get a referral. Then you must craft a killer application and be prepared for the interviews (business cases and fit part).
I've supported hundreds of candidates getting an internship/job at MBB, also in Germany.
Feel free to drop me a message if you'd like to know more how we can work together with a comprehensive interview prep plan!