No. Good took the ring all the way to Mount Doom, resisting its Evil all the way up until the end, and then once more the Good person failed to destroy the Ring. Frodo stood at the precipice and took the Ring for himself.
The only way the Ring was destroyed was by accident when Gollum attacked Frodo to claim the Ring. The Evil that the ring stoked in the hearts of those it touched is what ended up destroying it in the end, not the Good people who took it to Mount Doom.
Gollum took back the ring after Frodo - possessed by the spirit of the ring and in its voice - cursed him with death if he should ever break his oath. Gollum did so the ring did, bringing about his downfall.
The only way the Ring was destroyed was by accident when Gollum attacked Frodo to claim the Ring. The Evil that the ring stoked in the hearts of those it touched is what ended up destroying it in the end, not the Good people who took it to Mount Doom.