One of the passengers threw a gun out of the vehicle while entering Atlantic City, authorities said.
The 10-year-old remains in critical condition, the release said.
Three other men face weapons charges, and a fourth faces weapons and eluding charges.
Prosecutors say "petty vengeance" sparked a shooting during a Friday night football playoff game that hospitalized a man, a 10-year-old child and a 15-year-old.
The shooting, at Pleasantville High School near Atlantic City, continues a nationwide trend of shootings at or around high school football games that stretches back to at least August.
Michael Mack and Shahid Dixon, both 27, Tyrell Dorn, 28, and Vance Golden, 26, were all charged with various weapons offenses. A 10-year-old is now in critical condition, while a 15-year-old boy suffered a graze wound, was treated at a hospital and released. Atlantic County Prosecutor Damon Tyner said he was airlifted to a children's hospital in Philadelphia "with some serious injuries".
Pleasantville players headed toward their school, tearing a chain-link fence from its posts on the hill behind one end zone to escape the field.
Police were called around 8:38 p.m. while the Pleasantville High School team was hosting Camden High School, he said, adding that police are coordinating with the Atlantic County Prosecutor's Office.
Tyner, the prosecutor, told The Associated Press the shooting took place on the Pleasantville side of the bleachers.
At a Saturday afternoon press conference, police identified the adult victim as Ibn Abdullah, 27, of Atlantic City.
Witnesses said they heard about half a dozen shots fired from the bleachers, which wounded an unidentified man and what appeared to be a young boy.
Video from the scene showed spectators running for safety as players and referees sought cover by lying down on the field.
"Once I heard the shots and everyone started running".
"My friend and I had just finished a radio interview and we were saying how great it was that such a big crowd was here", said retired Pleasantville Fire Department Battalion Chief Neal Loch.
"High school playoff football should be a cause for community celebration, not the backdrop for panic and terror", he said.