Yes! The Premium and Youth Member Areas feature "responsive" programming, so they look good on a desktop, laptop, mobile phone or tablet... really any sized device or screen. Since they are online memberships, you must have an Internet connection (e.g. wifi, cellular, cable, etc).
The Playbook download works best on computers as it must be downloaded as a zip file and then "unzipped". Some mobile devices and tablets may not be compatible... before buying the download, make sure your device is compatible with zip files.