Dunne, 34, left League Two club Leyton Orient by mutual consent on Wednesday.
Hanlan, 19, has made 15 first-team appearances for the Addicks, while Hayden, 20, is yet to make a senior appearance for Wolves.
Bromley face Dagenham & Redbridge in the National League on Saturday.
Bromley have signed ex-Millwall defender Alan Dunne on a free transfer, plus Charlton forward Brandon Hanlan and Wolves defender Aaron Hayden on a month's loan.