Yes it is possible.
Looks this is your question only
http://stackoverflow.com/questions/38605944/is-it-possible-to-connect-to-remote-mysql-behind-ssh-using-jdbc-url
mysql driver needs to be available to soapui, i.e., copy the library under SOAPUI_HOME/bin/ext.
You should be able to find many groovy example on internet.
Here is one:
http://www.scytheofwise.com/groovy-mysql-example/
Note that, you need to first register the driver in the script like it is mentioned in the example #10 of below soapui's documentation link.
https://www.soapui.org/scripting-properties/tips-tricks.html
