You could, but either way you would want to reference what was already mentioned on how to do it. http://www.php-mysql-tutorial.com/ is a good place to start for using php to post and retrieve info to/from a MySQL database. The following pages should be looked at for some sample code on how to do both of these. The other option is to avoid a database and simply post to text files using the commands I referenced earlier in this thread.
http://www.php-mysql-tutorial.com/mysql-insert-php.php
http://www.php-mysql-tutorial.com/php-mysql-select.php
Hope this helps.
Edit:
Also, the link that you posted above is just a form and there is no server side action to it.