> something comparable to what the Roman Empire had done

Not in sophistication. For examples:

The Pantheon - https://www.pantheonroma.com/en/pantheon-history/ There are no domes in Mayan architecture.

The aquaducts - https://en.wikipedia.org/wiki/Roman_aqueduct The romans mastered the arch. The Mayans never used them.

Roman iron and steel - the Mayans used copper and gold.

Roman ships had keels - Mayan ships did not. Cannot sail upwind without keels.

Romans used the wheel - Mayans did not.

Romans used papyrus for writing, and would send letters around the empire - the Mayans wrote on bark.

And so on.

Doesn't seem nearly as black and white when you consider the Mayans were themselves way ahead of all of Europe with their use of elastomers, effectively creating vulcanized rubber over a thousand years before Charles Goodyear.

Hard to consider this that sophisticated in the twenty-first century but their use of the number zero also predates Europe by hundreds of years.

The Palenque also contains both aqueducts and arches (though not used together in the Roman style): https://en.wikipedia.org/wiki/Palenque#Palace

This only makes it even more fascinating. A Bronze Age civilization, contemporaneous with Charlemagne!

To be fair, the Romans had so many cultures they could draw their technology from- the Chinese, the Indians, the Middle East, etc. The Roman Empire was kind of a group project with three or four groups.

The Mayans were essentially isolated on their continent.