Constitutional precedent is clear. The Roe v. Wade Court held that the Fourteenth Amendment's Due Process Clause provides a qualified right to women to terminate a pregnancy. In Planned Parenthood v. Casey, the Court reiterated that before viability (generally understood to be 24 weeks), a State's "interests are not strong enough to support an abortion prohibition or the imposition of substantial obstacles to the woman's effective right to elect the procedure."
Nonetheless, many states continue to pass legislation that appears to be facially unconstitutional. Arkansas is one of them.