is there any way for one man to vacate an acknowledgement of paternity and have another man sign a new one without the need for a dna test?

in 2002 a child was brought to me,i was told she was mine, we had a natural bond that was closer than her bond with the mother. I was 15 years old lacking legal knowledge. When the mother realized I didn't want a relationship she stop letting me see the child. She became engaged to another man telling me they had a paternity test done and to leave them alone, the man later confirmed there was never a paternity test. In 2009 he was signed an acknowledgement of paternity after marrying the mother. Moving forward to now, we have found out that he has been molesting her since she was at the age of 8 years old ( since 2010). I made steps to reach out to her, her mother explained everything to her. Her and her mother now want him off of her papers and out of her life. The child wants me to be her father and we have been spending a lot of time together. neither me nor her want a dna test done, because if she is not mine it would only hurt us both more.I want to accept all legel responsibility