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Unfortunately we can't. Maybe for copy text it's ok, but not for other page elements, ones that we want to align in a specific way to bitmap images, no. The page-zoom style resizing is our best bet --it's the "resolution independent" way to have your pixels and eat them too. Now, if we could provide bitmap assets that could be zoomed in the same way, instead of just showing bigger but more pixelated (as we can in app…
Now, if we could provide bitmap assets that could be zoomed in the same way The most common way (used for icons) is to provide multiple bitmaps and load the right one depending on screen DPI. You can do this on your site too. And there's of course vector graphics (SVG), if you don't mind some extra processing on the client for rendering...
As for SVG, client rendering time would be insignificant for most case (for a desktop machine at least, they have CPU to spare). But currently used IE version (> 6) for one don't support SVG. And the main problem are bitmap assets such as photographs. Those cannot be done as vectors.