mysql off-site replication ( file only )
It might work.  But you probably need to have a separate instance of mysqld running on your machine, using the cloud "drive" as the directory for holding the mysql files.

Assuming you now have two instances of mysqld running on the same machine (your machine), they would need to be segregated -- either by being in different VMs, or by using different "ports".  (3306 is the default port; some use 3307 or 4306.)

Then set up replication.  I would make your mysql on your machine with 3306 be the Master and the "drive" instance be the Slave.

If you try this, please report back on whether it worked or what issues you had.