Yes.
All Affordable Care Act-qualified health insurance plans cover maternity benefits and medical care for newborn children, as do all Medicaid plans. This is true even for pregnancies that begin prior to enrolling in the plan. However, coverage levels within different plans vary.
Most health sharing plans provide maternity benefits, as well. However, most will only cover pregnancies that begin after the mother enrolls in the plan. Some healthshare plans may require that the patient be married. You should check your healthshare plan guidelines for specifics.