The short answer is yes. The code does not discriminate based on immigration status. You may have to establish he is the father legally if your not married and he did not file an acknowledgement of paternity. The Attorney General can help you but they are so busy it may take time, but it's free. Try consulting with an experienced family lawyer in Houston. Many give free consultations.
depends on the country in which you reside you may be able to get child support set up through the Attorney General
As to the immigration law issue (that is always asked by non US Citizens) the receipt of child support is in the best interest of the child and is not revenent to your status.
Legal disclaimer: The statement above is provided by CC Abbott is based on general assistance and not intended to be a legal opinion because not all the facts are provided. The person requesting information and all others reading the answer should retain an attorney who is permitted by the state bar within the jurisdiction who can examine the complete facts and provide a legal opinion on your case. All information provided in the above answer and other information provided by CC Abbott does not create an attorney/client relationship within any state of Federal law.
Years licensed, work experience, educationLegal community recognition
Peer endorsements, associations, awardsLegal thought leadership
Publications, speaking engagementsDiscipline