I find it hard to imagine how. Carrots don't seem to be especially popular last I checked; and to my understanding, produce generally has become more nutrient poor in recent times due to soil quality issues.
Except if you really like liver. Chicken liver contains more than 4000 μg/100g and the liver of other animals contain more. And then you start skirting dangerous levels. Apparently Inuits would avoid eating liver for this specific reason and a few Arctic explorers became ill partly because of this.
Sources: the Wikipedia articles on Vitamin A and Hypervitaminosis A, so reader beware.
The body also reduces conversion of BC to vitamin A, but that is no binary off switch.
Not sure where you get your safety buffer from. People certainly get symptoms from less.
Pardon?