Migrating Oracle 9i database to MySql database on a different Windows Server
As this answer on Stack Overflow indicates there is no built in functionality to do what you want but there are alternatives:


export your tables to csv files and then import into MySql using LOAD DATA INFILE. This solution does not scale well for large databases or schemas with clobs and blobs that are images or documents.  SQL Developer can help you recreate your schema in MySql.
roll your own solution with VB reading the data from Oracle and writing to MySql.  This takes time to code and test and is all throwaway code.
Commercial products:  Golden Gate works great but will cost you far more than you expect


The data access code in your application should, in general, work without change but details are everything. Consult the Oracle documentation for a comparison and you can see many differences and possible issues depending on what your schema has.