Yes, it is possible. Satan can cast out Satan by promoting contradictory partial lies. His response to combat the legitimate increase of knowledge is to “transform” himself into an “angel of light.” 2 Corinthians 11:14-15, 3, 1 Corinthians 15:24-26, Matthew 7:22-23. He disguises himself as a scientific atheist; a missionary of eternal torment; a "spiritual leader" without believing in God; a healer persuading people to deny their illnesses and rewarding them by miraculously curing physical ailments. In the civil arena, there are civil wars where both factions are brutal and degenerate. Yet each side is lying by saying they will bring great reforms for the people. This “light” is perversion and deception. But it is also contradictory, thereby, casting out opposing lies.
People are distracted from 1) discerning truth from falsehood, 2) seeking Biblical Truth or 3) recognizing their need for a Savior.
Jesus clearly implied that Satan could drive out Satan (cast out or fight against himself). Matthew 12:26, “If Satan casts out Satan, he is divided against himself. How then will his kingdom stand?” Using a parable, Jesus taught that the “good man” (the returned Lord at the Second Advent) will “spoil his goods” (Satan’s kingdoms) by “binding the strong man” (i.e. restraining Satan’s power and influence). The result will be fightings between the fallen angels (demons). Satan's kingdom has become divided against itself. But the wonderful news is that it indicates his kingdom is falling.
The life, death, and resurrection of Jesus advanced God's plan of salvation and the judgment of Satan. Jesus said, "Now is the judgment of this world: now shall the prince of this world be cast out," John 12:31.
The Scriptures also assert that Satan will be especially desperate in the “end days” before he is fully “bound" and eventually destroyed. Our Lord is gradually weakening the "strong delusions, seducing spirits and doctrines of devils," ignorance and trickery that has successfully enslaved past generations since Adam and Eve. 1 Timothy 4:1,2, "Now the Spirit speaks expressly, that in the latter times some shall depart from the faith, giving heed to seducing spirits, and doctrines of devils; speaking lies in hypocrisy; having their conscience seared with a hot iron."
Jesus will defeat Satan in God’s “due time,” because Jesus was given "all power in heaven and in earth" when he was raised from death by the Father's power (Matthew 20:28). See also Isaiah 14:12-16.