If the banishing effect included Destruction, then yes. However, more than likely, no.
I don't understand why, but destroying Warm Worm with Assault on GHQ doesn't seem to work. Face-down, Face-up, Defence or Attack position, it's effect doesn't work with Assault on GHQ. It mills down 2 cards instead of the intended 5.
I admit, Milling in Duel Links needs even more luck than playing anywhere else, but its a bit more satisfying as well. If you look at your milling potential, you CAN build a strong Mill deck, but like 70% of the time it can be powered out LITERALLY by the last turn needed to win.
I should know, lost a great deal of duels in the 1st tourney that way. ^~^;;