I had a baby a few months ago and I was wondering if the father can force me to take a DNA test to prove she is his daughter?

The "father" can go to court and ask the court to order a DNA test. I assume he is not on the birth certificate. If he is, he can go to court to ask for a parenting plan without the DNA test. If you want to minimize the chances of his being in your child's life you will have no contact with him, do not give him your address or phone number, don't let him know if you move and will never use any public benefits (welfare, medicaid etc) all of which trigger the State to seek child support to repay the tax payer for your use of the benefit. If he is already in the child's life because you're allowing him to see the child, then go to court and do what is right - establish child support and a parenting plan.