To the second question, there is no such case recorded in the Bible. To the first, the scant evidence that the Bible does provide would suggest that the answer is No.
In Matthew 23, "When he [Jesus] arrived at the other side in the region of the Gadarenes, two demon-possessed men coming from the tombs met him. They were so violent that no one could pass that way. “What do you want with us, Son of God?” they shouted. “Have you come here to torture us before the appointed time?” "
After that, Jesus sends the demons into a herd of pigs. Note that the demons knew exactly who Jesus was, and expected nothing but torture from Him.
Also, in James 2, it is stated, "You believe that there is one God. Good! Even the demons believe that—and shudder."
Whatever demons anticipate in their future causes them to shudder; there is no redemption available to them. If there were, they would repent, for they know better than humans do that there is one God Who will judge the living and the dead.