Passenger 57

International psychopath terrorist Charles Rane (Bruce Payne), known as "The Rane of Terror", is caught by the FBI and local authorities just as he is about to receive plastic surgery to alter his features to evade law. The FBI make plans to return Rane to Los Angeles aboard a Lockheed L-1011 Tristar passenger aircraft for him to stand trial.
John Cutter (Wesley Snipes) is a retired police officer who is trying to recover from the haunting memories of his wife's death in a convenience store robbery, and has taken to training flight attendants in self-defense, including Marti Slayton (Alex Datcher). After one class, Cutter is approached by an old friend, Sly Delvecchio (Tom Sizemore), who offers Cutter the vice-presidency of a new anti-terrorism unit for his company, Atlantic International Airlines. Cutter is reluctant, but Delvecchio and the company's president, Stuart Ramsey (Bruce Greenwood), convince him to accept the offer.
Cutter boards as the 57th passenger on an Atlantic International flight to Los Angeles, where Marti is one of the flight attendants. Rane and his two FBI escorts are also aboard. After the flight takes off, several men in Rane's employ, posing as flight attendants and passengers, kill the FBI agents, release Rane and secure the plane by also shooting the captain. Cutter, in the lavatory at the time, manages to use the plane's on-board phone to warn Delvecchio of the situation, but Cutter is soon discovered by one of Rane's agents.
Cutter overpowers the agent and takes his weapon; he then uses the agent as a shield to confront Rane. Rane is indifferent and shows his ruthlessness by taking a passenger hostage and then killing him without mercy. Rane also shoots his own agent in a further show of force. Cutter realizes he is outmatched and escapes with Marti to the plane's cargo hold, dispatching another of Rane's men--Vincent, disguised as a caterer.
Cutter dumps the plane's fuel, forcing Rane to order the surviving pilots to land at a small Louisiana airfield. Cutter jumps from the plane as it lands, but Marti is caught by Rane and kept aboard. The local sheriff, Chief Leonard Biggs (Ernie Lively), arrests Cutter, thinking he is a terrorist and takes him to the airport building.
Rane contacts the field's tower and threatens to start killing hostages unless the plane is refueled; he offers to release half of the passengers if they comply. Rane also asserts that Cutter is one of his own men turned against him. Biggs gives the go-ahead for refueling and, as the passengers are freed, Rane and his men escape from the plane, having given orders to those still on board to kill the rest of the hostages if their plans are interfered with. Cutter recognizes the passenger release as a diversion, escapes from the sheriff, and chases Rane and his men into a local county fair. The FBI arrive and confirm Cutter's true identity to Biggs. Cutter is able to kill one of Rane's men and gets into a fight with Rane before police arrive and capture him.
Back at the tower, Rane announces that if he does not contact the plane and give flight clearance, his men aboard have been instructed to kill the rest of the hostages. The FBI arrange to return Rane to the plane, escorted by two agents, with plans to have a sniper take down Rane and allow the FBI to storm the plane to save the hostages. However, the sniper is Vincent, who kills the escorts but is shot dead by Cutter, and Rane makes it inside safely. Rane orders the pilots to take off while Cutter, with Biggs's help, manages to jump onto the speeding plane before it takes off.
Inside, Cutter deals with more of Rane's accomplices before getting into a fight with Rane. Their fight blows out one of the plane's windows, causing the bulkhead door to blow out due to the explosive cabin decompression. Cutter manages to get Rane close to the open door and kicks him out of the plane, sending him plummeting to his death. The plane quickly returns to the airfield, where the FBI secure Rane's remaining agents and the remaining hostages are freed. Amid congratulations and celebration, Marti and Cutter make their quiet escape into the distance hand in hand, but not before Chief Biggs offers them a ride.

Question: Does Cutter also get into a fight with Rane?
Answer: yes