In addition to Cruz, two other men have been charged in the attack.
Robert Sims, 35, who allegedly grabbed the SUV's door about five minutes into the video, turned himself in to police Friday in Brooklyn, NYPD officials said.
He faces charges of gang assault, assault and criminal possession of a weapon, according to police.
Sims was arrested in 1998 for possession of a loaded firearm and a samurai sword, and he served eight months in jail, police said.
Reginald Chance, 38, of Brooklyn, also surrendered to police late Friday. He allegedly was the man seen on video using his helmet to smash the driver's side window of the Range Rover before the video cut off and the alleged assault took place.
Chance appeared in court on Sunday and raised both middle fingers to cameras and others inside the courtroom as he was arraigned.
Cruz told ABC News he does not know Chance or Sims, the two individuals charged with attacking Lien, and was not at all involved in the ensuing chase.
Cruz's attorney believes his client was arrested because of the furor of media attention surrounding the incident.
"I think that they needed to make an arrest to satisfy the public," the attorney, H. Benjamin Perez, told ABC News. "He didn't brake. The video shows that," Perez said. "He was not trying to entrap Mr. Lien and go up against an almost four-ton vehicle while he was on two wheels."
ABC News' Alexis Shaw, Linzie Janis, Aaron Katersky and Josh Margolin contributed to this report.