Yes, you can convert your Weebly / Wix website into an Instant Mobile App by adding the Instant Mobile App via the Weebly / Wix App Market.
https://www.weebly.com/in/app-center/beezer-mobile?ref=ac-search
https://www.wix.com/app-market/instant-mobile-app/overview
If you have a Weebly or Wix website and are not using the Weebly or Wix add-on, on the core Beezer.com platform you can embed a Weebly or Wix website to your app using the iFrame widget.