The title is self explanatory. Is there a way of directly doing such kind of importing?
In this problem, the answer is not updated in a timely. So it's happy to say that in 2020 Migrating to MsSQL into MySQL is that much easy. An online converter like RebaseData will do your job with one click. You can just upload your .bak file which is from MsSQL and convert it into .sql format which is readable to MySQL.
Additional note: This can not only convert your .bak files but also this site is for all types of Database migrations that you want.