In the recent case you refer to, the Supreme court held:
Held: The Constitution does not confer a right to abortion; Roe and Casey are overruled; and the authority to regulate abortion is returned to the people and their elected representatives.
Later in the syllabus, the majority expands on this:
the fact that many States in the late 18th and early 19th century did not criminalize pre-quickening abortions does not mean that anyone thought the States lacked the authority to do so.
It is rare, by the way, for a law to demand prosecution unconditionally anywhere in the United States. Normally, prosecutors only bring cases when they believe that doing so serves the public interest. However, some laws do require this, such as the mandatory-arrest and no-drop rules for domestic-violence cases in some jurisdictions.
This site discourages us from asking a second question in the same post, but I’ll allow it.
I’ll answer for the state where I live. I don’t know the answer for all the others. (I will mention that the vast majority of Pro-Life activists say that they do not support such laws, and that they want to offer people with an unplanned pregnancy compassionate alternatives through crisis pregnancy centers instead.)
The statute for Criminal Homicide in the state of Oregon says (emphasis added)
“Human being” means a person who has been born and was alive at the time of the criminal act.
You also ask whether any such law has been proposed. As of June 26, 2022, no such initiative petition has been filed with the Oregon Secretary of State. nor has such a bill been introduced in the Oregon Legislature.
In the 2022 session, seventeen state legislators have so far filed a bill, SB 1553, that would require a “health care practitioner to exercise proper degree of care to preserve health and life of child born alive after abortion or attempted abortion.” I expect that there will be other bills filed regarding abortion in the current session.
So, in Oregon, no.