If you are not married so you would not be filing a joint tax return with your spouse, then there is no point for you to file a tax return if you do not have income of any kind regardless if you have children or not.
You cannot receive any type of tax credit such as the Earned Income Tax Credit, the Child Tax Credit or the Child and Dependent Care Tax Credit if you do not have earned income from wages or a net profit from self-employment. You cannot get a tax refund for taxes that were never withheld from wages you never received.
