Jared James Abrahams surrendered to FBI agents in Orange County, said FBI spokeswoman Laura Eimiller. He was scheduled to be in federal court in Santa Ana later in the day, Eimiller said.
Wolf, a 19-year-old, won the Miss Teen USA crown August 9.
Last month, Wolf told the website of NBC's "Today" show that earlier this year she received an anonymous email in which the sender claimed to have stolen images from the camera on her home computer.
Instead, Wolf went to authorities.
Based on an investigation launched in March the FBI believes there were more than a dozen victims in all, Eimiller said last month.
Wolf has said she would use her fame to highlight cybercrime.
