Looks like it could be plausible. Bitumen was used by Egyptians for embalming and much earlier by Sumerians for ship building and general construction. Surely somebody will notice that bitumen more exposed to the sun hardens earlier/better.
This leaves the discovery of a camera obscura. According to Wikipedia the earliest extant written record of the camera obscura is to be found in the writings of Mozi (470 to 390 BC), a Chinese philosopher and the founder of Mohism. Mozi correctly asserted that the image in a camera obscura is flipped upside down because light travels in straight lines from its source. His disciples developed this into a minor theory of optics. The philosopher Aristotle (384 to 322 BC) was familiar with the principle of the camera obscura.
So having some Egyptian scholar discover the concept of the camera obsucra shouldn't be out of reach as well. The only thing that needs to happen now is someone having an „eureka“ moment of combining a bitumen plate with a camera obscura device. Not exactly the most likely occurrence but nothing that would require some type of deus ex machina by a timeline writer either.
On a somewhat realted note here is a link to an artist creating modern day petrographic photos.
Interesting. But... the time of exposure and resolutions (if we could even use that term) involved are pretty enormous. It may exist as a curiosity, (anyway, Mozi is some over half a millennium from the last gasps of the new Kingdom, and lived in the entirely wrong part of the world) but there would be an utter lack of tech (let alone scientific) base to improve it further toward something resembling actual photography.
By the way, it would sem that idea of light propagating in straight lines was not alien to New Kingdom Egyptians, judging by the way they represented the Aten in the Amarna Period. They had some good, although seemingly entirely empirical, understanding of geometry. So it is not impossible that they could come out with some crude version of
camera obscura. The point is, what use could they ever have for something like the proto-photography resulting from bitumen in the box?
Critically, they won't have anything like lenses, nor, I believe, sufficiently developed glassmaking to make even very crude ones (in the New Kingdom age at least). Let alone the (far more advanced than
camera obscura) understanding of optics needed to even
think about lenses. Heck, basic glassmaking (with colored glass) was cutting-edge brand new technology at the time. Consider that Galileo apparently had trouble with
his time's glassmaking ability to produce decent lenses (and also with related optics)... and that was after almost three millennia of (very unequal) development with glass, and centuries-long progess in theoretical optics.
Still fascinating.