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With an enormous treasury, a couple of decades, a dedicated work force, the proper tools and no labor unions, yes.

"In some ways they appear to have been more advanced than us. "

The key word is "seems". Partly because building traditions are not part of the written record of clerics and academics, so people with no practical background look at the pyramids and gape in amazement.

Whereas a mason would look at a pyramid and go "I could improve on that".

Like I said, a pyramid is a pile of rocks with a tiny house inside.With current understanding of building techniques, we could limit ourselves to the capabilities of that time (I.e. use machines, but not use cranes to lift more than their technology could etc.)  and build structures even more solid with more space inside.

Like the Great Wall of China, this is just basic building techniques and a whole lot of sweat.

A lot of these "advanced civilization" / "Golden Age" or "alien influence" theories are just based on writers going : "I don't understand how they did this, so no-one does".

It amazes me whenever I see some expert on TV going "We really have no idea how they managed to do this" about some ancient structure.

Watching the "Building of Britain" TV-show, I could just imagine Fred Dibnah, that quaint old steeplejack, going : "Well, It's really simple. You take a bunch of rocks, then you pile them up in a pyramid shape, and this is how they might've done it ... "

The wheel had long since been invented by the time of the pyramids, and all it takes is a wheel and an axle on a support, and you have cranes and pulleys with which men could lift or pull ten times their own weight.

Any big city in the world has structures that are infinitely more advanced than pyramids. Even cathedrals from the middle ages are much more advanced, though many of the tools were the same. They just did more with those tools than we would today, as we have traded these tools in for more efficient machines.  

As for the "cosmic alignment" ideas that keep cropping up? Whatver they knew about astrology might have been used to "align" pyramids, but it's nothing more than "Feng Shui" on a large scale. Add to that some overreading of the significance of some things that could be completely arbitrary and some fuzzy math and suddenly it's "Magic".