Separation and children's rights and how to deal with emotional abuse by biological fathers?

If a biological father signs away contact at court, with his 2 year old child. With whom he had no bond and who he did not play with, and had no interest in. He emotionally abused the child so badly it has taken nearly 3 years for her to gain confidence again. The child has bonded with the stepfather, who the child looks upon as Daddy and he regards the child as his own, and a close bond has developed between the two. Should the biological father be allowed by the courts to walk back into the childs life life, when the child is settled and happy and has had their faith in men re established? The boiological father is unpredictable, has previously wanted contact one day and not the next. The child has been on the doorstep waiting for contact, but he has shouted and turned the child away.