No chance. As far as the "0" quest is considered, you can prevent it from appearing on your quest list by *not entering* Castle Harmondale between:(a) Beginning the "war" after resurrecting the dwarves from the Red Dwarves Mines in Bracada Desert. You can enter the Castle exactly once after passing the dwarves to the Dwarf King. But once you leave you must not return.
(b) Passing the Trumpet to the Judge.
Note that the "forbidden period" means that you must not Town Portal to Harmondale. The fountain is inside the Castle and, in fact, you are portalling to the Castle and not to Harmondale.
After passing the Trumpet, you can enter the Castle again. The "0" quest will not pop up on your leaving the Castle.