Authorities searched the Hudson River and both levels of the bridge and did not find anything.
Late Wednesday, authorities found the missing car at a parking garage in New Brunswick, next to the train station.
Christopher Aiello said it was believed she took the train to New York.
Aiello told New York radio station WCBS that his daughter, a cocaptain of the school tennis team who also worked several jobs, had done "incredibly well" in high school and college and was accepted to nine law schools, but was feeling under a great deal of stress and was living at home for added support.
"She had hit almost like a wall, where she felt she was not maybe either worthy of all this or she just couldn't handle it," he told WCBS.
He said his message all day had been: "Not only do we have to be watching our children that are not doing well and getting in trouble, but we have to see and watch the kids that are the overachievers. They have a self-imposed stress. You don't need a parent to be constantly on their back if their stress is internalized."
With Paige Aiello's birthday being Thursday, Christopher Aiello asked: "Is that a meaningful date in her mind, if she didn't want to celebrate it? You know, I just don't know what I am supposed to say."
Aiello said he was encouraged that no one reported witnessing anyone jumping from the bridge. He said he was worried that without a cellphone, his daughter could just be wandering around.