No. Angels, unlike flesh and blood men and women, know Almighty God in all His fullness, that is, His power and glory. They were created perfect with perfect knowledge. They were also created with personal volition or “free will.” They can make choices. One third of the angelic forces chose to follow Lucifer in rebellion against God.
Because they know God –that He is the only God– the angels can’t be redeemed once they reject God’s rule over them. They already have perfect knowledge of the Creator of all things.
Man was not given the knowledge of good and evil in the beginning. Rather, he having been also created with free will chose wrongly based at least in part upon his lack of full understanding. Man, therefore has a means of Redemption available to him through Christ’s shed blood, because he (man) must come to the knowledge that he needs the Savior, Jesus Christ.
Mankind needs salvation because Adam and Eve disobeyed God and fell out of fellowship with Him when they disobeyed Him and ate fruit from the tree of the knowledge of good and evil. From that point on his nature became sinful.