There's two options in Hype's Document Inspector you'll want to check:
- Create offline application cache
- Home screen web app
Then after publishing to a site, visit that URL. Use Mobile Safari's share button to Add to Home screen. Be sure to run this once.
There are other more complicated approaches you could take, such as making an iOS application that contains a web view displaying your project, but the home screen web app is the simplest if you have control of the environment.