It might be possible to do, but it is beyond our support.
On some of the pages there are fixed layouts for mobile and desktop version, detect goes with php and switch is possible.
On Publisher template there is no such thing, here media-queries are being used. They "change" css when browser width hit some value (set in backend). And those scripts are loaded in header and are acessible with JS, so in theory You could be able to use JS to disable them on mobile (remove links), then use cookie to store that they are disabled and do same on each page after reload. Then if someone clicks mobile, scripts should be added back (or removing function removed and reload).
But - this is theory.