If we were to build today, of course we could. Using large earth moving equipment, cranes, large scale quarrying and shipping, trucks and given an unlimited budget and enough skilled workers to implement the design effectively we could accurately replicate the pyramids. It would take decades, cost billions and result in a pointless endeavor. But I think the argument that we could not replicate it today is that if we were to only utilize technologies that existed (to our knowledge) back then, we could not achieve the same results. I actually think this is very accurate. Eliminate all the tech that we take for granted as builders (earth moving equipment, Trucking and shipping industry, combustion engines, electricity, mass production of building elements, healthcare, food production, quick and suitable housing production, etc) and I don't believe we could replicate the pyramids. That seems indicative to me that there is some level of technology that they had, which we lost.
As an aside, I am an Architect here in Philadelphia. I can attest that the pool of highly exceptional masons is getting thinner and thinner. If you want a really high quality mason look for a guy in his 60's. There are some younger guys out there, but in general, this is a trade/art that is being lost in a generation or two. We're talking about a fundamental building technology that has shaped our country over the last two hundred years whose prevalence (and therefore craftsmen) is becoming obsolete.
Getting back to the lost tech idea, one thing that Schoch talks about is the existence of very large, stone hinges with deep cores-not unlike the hinges that every door in your house hang from, just way bigger, supporting way more weight and constructed of stone instead of steel or brass.) He focuses on the technology that it would take to create these cores. They are perfect circles, 1-1/2" in diameter that are 8" to 12" cored into stone. All aligning perfectly to support and swing a door that may be 8'-10' wide and a story tall. This could only have been done on a lathe or more likely with a drill. Like an electric drill. This is not some chiseled out recess, but a clear through-hole to receive a door pin. I'm not suggesting they had electricity necessarily. Just that they had a technology advanced enough to do such a small, but definitely-not-insignificant task such as boring through stone
Finally, I've heard arguments that a technology as advanced as this, from 10,000 years ago is impossible because there have not been any artifacts found to corroborate this date. This is silly to me. Nature has a way of wiping the slate clean. If we were to all be blipped out of existence today and 10,000 years from now aliens were to visit earth, they'd find almost no proof we were ever here. Skyscrapers and houses, roads and airports, cars and shopping malls, Iphones and portable drills would all be completely gone. The only things that would remain in some state of recognition would be massive static, monolithic masonry/stone structures like the pyramids or a carving like Mount Rushmore. That a mason's chisel from 10,000 years ago can't be found left behind at the base of the Sphinx is not an indicator that it wasn't once there.