Can you publish to an existing website?

You can publish the presentation to your local compuer (perferrably as a zip) and then upload the presentation to any webserver/LMS. The tracking of the quiz responses will need to be done through a Connect server or an LMS. More specifically you can set up Presenter to report to following server types: Adobe Connect, AICC, SCORM or Tin Can. If you just have the presenation on a standard web server the presentation will play and the quiz content will be interactive, you just won't get any reports.

Here is the documentation on configuring reporting: Presenter Help | Adding quizzes and questions