"zip" a mySQL (phpMyAdmin) database
Yes, if you use phpMyAdmin on your WAMP server, you can use the Export tab to dump your database and all the data in it.

On the Export tab, choose the Custom export method. This opens a bunch of options. Under Save Output to a File, choose Compression and you get to choose zipped from a drop-down.

Then you can Import that zip to another MySQL instance on another computer.