Oh yeah, sure. Just walking along, minding my own business and BAM... somebody grabs me and cuts my throat from ear to ear then drives off and I survive because they missed the protruding veins in my neck.
The BS meter is strained on this one, big time.
If you have doubts, you might want to write to Thomas Lifson via: postmaster@americanthinker.com. He is a fine columnist and author with a "Grade A" reputation, so I take him at his word. If this story came from an author I'd never heard of, and from a less credible source than American Thinker, I wouldn't have posted it, but I can't see how a writer of the stature of Lifson would invent a story for the purpose of sensationalism.
Actually, it's quite possible. The perp (oops, "economically challenged victim of society" in Berkeleyspeak) probably yanked her victim's head back to get an easier shot at her throat. Tipping the head backward causes the major blood vessels in the neck (the carotids and the jugulars) to move back behind the muscles and tendons, giving them some protection. Now if the perp had pushed her head forward ...