Can I legally have my 3 year old daughter's last name changed to my maiden name?

Question Details:

I am a single mother, my daughter was born out of wedlock but has her biological father's last name. I have an order of protection against him and he has many violent offenses filed against him by me and many of them happened in front of my daughter. He pays no child support but is on the birth certificate. I was wondering if I could have my daughter's last name changed to my maiden name without her father's consent because I know that he'll never give it even though he doesn't do anything for her. He  even said that he would fight against having to pay child support if I went after it.

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