Hey Steavy,
Yes, you can sync SQL server table to MySQL table through Import External Data (Ctrl+Alt+O) from SQLyog's Powertools menu using ODBC.
After selecting table to be synced, you can further use 'DDL/DML optins' in 'Advanced Options' where you can sync or import datas to existing table (both Source and Target tables has same structure) or you can recreate the table by using this option.
See image “import.jpg”
Regards,
Navya