iPad 1st generation, using as full screen browser (kiosk mode)
Yes, there's a possibility of full screen mode by adding the web site to the Home Screen.

You do that by opening the web site in the Safari browser. Then click the "arrow out of the box" icon just to left of the address line. In the menu that pops up, click "Add to Home Screen".

Now'll you see an icon on the home screen for the web site. Click that and it should open up in full screen!

If it opens up, but still showing the bar at the top, you might need to add the following meta tag to your web site's code:

&lt;meta name="apple-mobile-web-app-capable" content="yes"&gt;