Sure, ditch the old AIR1.5 example and fast forward to AIR3.5 . Just open a StageWebView, point it to an URL and it'll be a standard Webkit browser. It's built in, no need for an external component. You have limited interactivity with the webpage but if you need that (which is AS3->JS or JS->AS3) then you can use a UIWebView ANE.
If you need to direct access to the browsers content I use this ANE:
Just mention it if you need any examples of either.