"We have no indication it's true or not true," Capt. Gary MacNamara said Wednesday, adding that authorities had not received a complaint about the neighbor before the killing.
Jonathon Edington, is accused of stabbing neighbor Barry James to death on Monday after his wife told him that James had inappropriate contact with the child. The New York Times reported that he was released from jail on $1 million bond Wednesday.
"The daughter gave the mother information which was alarming and disturbing. The mom relayed it to her husband. That was the spark," said Edington's attorney, Michael Sherman.
Police said Edington, 29, climbed through James' bedroom window and stabbed him nearly a dozen times in the chest. James' 87-year-old mother discovered his body.
Police had gone to the neighborhood before, when Edington called to complain that he could see James through a window, police said. "Either he was partly clothed or revealed parts of his anatomy that were inappropriate," MacNamara said.
Edington, a graduate of Syracuse University and Fordham University Law School, has no criminal record, police said. James served two days in prison in May 2001 on a drunken driving charge, according to the state Department of Correction.
Pat Wysocki, a neighbor who has known the James family for 39 years, described Barry James as a "very nice fellow" who worked for a funeral home and said she found it hard to believe he would molest a child.
"But then again, you don't know," she said.