If I create a staging site, then move my live site, can I still import changes from staging to live?
Yes!
WP Stagecoach doesn’t store anything other than your API key on your live site, so as long as the plugin is enabled and authenticated, you can move your live site and WP Stagecoach will still know which staging site is associated with it and you will still be able to import changes from your staging site to your live site.