Whilst the Sky Sports app still isn't officially supported on Chromebooks, it might be possible to sideload the app on a chromebook if it isn't available via the app store. You might need to use a search engine to find out how to sideload and run non supported apps.
The following page explains how to use the Sky Sports app and also includes links to download the ios and android app, plus instructions on how to watch on a computer via the Sky Sports website.
https://www.virginmedia.com/help/how-to-use-sky-sports-app
If you pay a Sky Sports subscription directly to Sky rather than via a third party such as VM then you will have access to the Sky Go app which allows you to watch Sky Sports channels.