Assuming I do not want to authenticate (sskverify=0), is there a way with MySQL ODBC 5.3 to encrypt a connection using SSL without any SSL files (sslca, sslcert, sslkey)?
This is how many other SSL clients (e.g., web browsers) can work.
Adding sslverify=0 does not encrypt the connection. I verified my server supports SSL using SHOW VARIABLES LIKE '%SSL%' and my connection does not use it using SHOW STATUS LIKE '%SSL%'.
I don't know how to do it with a standard mysql odbc driver but you may try to use alternative mysql odbc driver I have to tell that this driver uses SSH encryption. I don't know is this what you need.