I think aeropress faux espresso is ok too. Do normal, not inverted, with a fine grind and tamp it. I happen to have a glass jar that fits perfectly as a tamper, but otherwise maybe a shot glass is around the right size? I can pour water on top, and until I start applying pressure no liquid will come through the filter.
It should be hard to apply pressure, and the coffee should run out in about 15 seconds of pushing. If it's too fine or too much coffee (I do 17g of coffee and water short of the 2 marking on the side) it will take longer, and of course if the liquid just runs through without pressure it will be pretty bad.
Afterwards I have just a little golden foam on the coffee and much drier grounds than my normal inverted method aeropress coffee, so I take that as a sign I'm kinda approximating espresso. That and the taste.