iPad App that loads website
Sure, theres a thing called Guided Access, you can "crop" the area where they may not touch, anything in that zone wont work if tapped, and if you tap the home button they will be asked to enter a passcode.

To enable this:

Settings -> General -> Accessibility -> Guided Access


Enable Guided Access
Set a passcode at Passcode Settings
Enable Accessibility Shortcut


Now go into Safari, press home button 3 times, start Guided Access, then draw a block on the address bar and the toolbar at the bottom. Tap Start to begin or Options in lower left corner for more options.

To exit, press home button 3 times and enter passcode.

Hope this helps! :)