Not possible with the amount of stoppages it has between PNBE-JAJ region. When it used to run as Shatabdi dep time was 6:00 and arr time 13:25 at HWH. But stops were pretty much less as compared to JS.(7 stops more now)
In UP It used to run on the slot of HWH Rajdhani.
However once the rake and track gets upgraded to 130/120 . That may happen.