Probably. Try it.
Although I'd use $_POST rather than $_GET due to URI length concerns (
http://www.boutell.com/newfaq/misc/urllength.html)..
And I'd also pass in a paramater (e) and then at the top put e.preventDefault() to make sure that the submit button doesn't post the form without AJAX.
Again, try it (I am not going to). If there is an error, tell us the error and we can help you debug (again try to do it yourself first).