WiX Front End support
CiviCRM will need to be installed in Drupal, WordPress or Joomla so you can't install in on a Wix site.  However if you want to make event registrations available on your Wix site it looks like you should be able to do that - see here. That suggests you can embed external forms in iFrames or access 3rd party web services using Wix Code.  Not tried it, but looks like it should be possible.  Would make a good blog post if you do it!