I don't think it's possible without some kind of machinery. Using chisels for something like that...
At least a few of you understand. That's satisfying.
HAL, while I never went on to advanced stone carving while getting my art degree, I took a couple of newbie classes because they were required. I got to watch the more advanced students work on granite. Does that make me an expert? No. Do I remember everything? No, it was many years ago. And, it wasn't my favorite sculpture class to attend.
But, I observed: until they were able to prove their skill with tools, students would not be allowed near the power tools. All they could use is the different sorts of chisels. Carving straight lines was an exercise we all had to do, and variations of the exercise were done on granites by advanced students. It was hard. But, scoring-chisel-check that I outlined above was the process.
When you see it done, you realize that it is doable. Including the deep cuts and the face-removal needed to make the lintels and deep indentations. You can make very deep cuts with this technique, you just have to carve out the cavity carefully, then slowly polish the flat edges. Again, what you see in the photos is pretty damn impressive, I won't buck it. It's really tedious work -- that's why I wasn't a fan, and I wasn't even working on granite, just a tiny bit of limestone. It was not easy, and I can't even pretend to calculate the man-hours that went into the structure in your pix.
It is possible that they had other tools, yes. I can imagine a board with corundum bits lined up like a big rasp. I think adhering the bits would be hard, but not impossible. They could have used another Egyptian-type device: the Egyptians used bows, the string wrapped around a stick-with-bit, making a drill. "Sawing" the bow back and forth made the drill spin. This method could have been used to preforate the surface, making controlled removal of large sections of slab easier. So, a long stick with corundum in the tip, pouring water in its bore hole to keep it cool is a possibility. Once you've drilled enough around the perimeter though, you still would have to chisel out the parts that are still attached, you would still have to flatten and polish the faces by hand. (Again, this is the standard, tedious technique.)
This drill method could have been used for the quarrying itself, as well, to remove large blocks. In modern quarrying, you can see the striations along the edges. That is the same drilling technique with power tools, preforating the blocks like stamps. The blocks in this photo are massive.

Drills
could have been used, but if made of wood with bits of stone (or metal) they would have disintegrated, probably, and unless we find a quarry site that is definitely one of theirs, we probably won't be able to tell if they used this technique, for sure.