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