Yes, any responsive site can be turned into IOS and Android application no matter if it is built in PHP, WORDPRESS, DRUPAL, WIX, etc.
As long as the site is mobile-friendly, it can be turned into an Apple IOS and Android application.
Tip: Google and Apple don’t like taking a website and just turning it into an app. This is because they want the application to be useful and slightly different from the site. Therefore, we recommend that you create another homepage for the application on your website, and include tools such as search, login and registration, and anything that will make the app useful for the user.
App usability will also help the application downloads and also increase the time that the app will be installed on the devices of those who download the application.