Normally, no. The killing curse in the goblet of fire failed because Harry and Voldemort were using wands that were brothers. Theoretically, that effect would have happened regardless of which spells were used.
In the Deathly Hallows, the killing curse at the very end was deflected successfully only because the Elder Wand recognized Harry as its true master, and so would not harm him. It allowed the spell to be deflected, and allowed Harry's signature "Expelliarmus" to get through so that it could join its true master.