From a constitutional standpoint probably (in my view, regardless of viability the closer you get to conception the murkier the govt interest becomes. But that's partly because I don't think a fetus is a person).
From a moral or legislative standpoint (i.e. what I think the law should be state to state) absolutely not. I wouldn't vote for a law that banned abortion earlier than the third trimester. Abortion doesn't become a morally squishy issue until 28-29 weeks for me (the earliest point personhood could possibly begin).
It's not possible the human life begins at conception? When a human heart pushes blood through arteries and veins return them back to recirculate? When pain sensations develop?
Not "possible", you say?