This eclipse site gives the date of “China’s Double Dawn” eclipse as 20 April 899 BC. It’s the fourth one on the list of Solar Eclipses of Historical Interest.
In principle, yes, but it would require extremely precise measurements, and I’m not sure I would trust the ancient Egyptian astronomers that far. I’m not even sure I would trust a modern astronomer with modern instruments and calculations that far: That’s down into the range where a difference in the heat shimmer towards the horizon could potentially throw the results off.
Although they are probably not quite the type of event that the OP was thinking about and are not exact to the day, the dates proposed for the felling of the trees used for ‘Seahenge’ were astonishingly precise.