I love my Aeropress but of course it can't produce nearly enough pressure for espresso, or maybe it can...

Ok so I'm a little sceptical and haven't tried this yet, but I just watched this on you tube and it did look espresso-ish.
https://www.youtube.com/embed/GIfZ84qtBOc

Essentially they had a normal non-inverted Aeropress set up with a metal filter, but they tamped down a paper filter on top of the coffee, then water on top of that.

They used a lever to push down the piston, so it's either an elaborate hoax or they did indeed produce enough pressure to make an espresso.

Worth trying for sure, at least without the lever.