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I guess anything is possible but with a CFA qualification, I would think that a higher level of German would add more than a MSc.  Options:

1. Just start applying for jobs in Germany 

2.  try working with a tutor who will take a different approach. I have been using the https://www.vhs-lernportal.de/ and italki.com which both worked for me alongside an intensive course at the DKFA.  

3. Start a full-time language course in German at a state university that teaches the DSH. 

PS and read 
Do you need to speak the local language? www.find-mba.com/board/34713

[Edited by Duncan on Dec 12, 2022]