Sure, that's what Apple wants me to do. And Google. And Microsoft and Blackberry and...
I don't want to build multiple versions of my app for different platforms. The web is open, free, not in a walled garden. And it won't go away when a company or product disappears.
"Build a native app" was the answer in 1998 when the web was new and Windows dominated. That answer was wrong then, and it's still wrong now.