I wonder what the pressure difference is?
Espresso is brewed by passing high pressure water through the coffee at a temperature lower than 100°C (i.e. not boiling water).
Guidelines from the Istituto Nazionale Espresso Italiano state that the entry water pressure is 9 ± 1 bar and the entry water temperature is 88 ± 2°C (67 ± 3°C in the cup). The coffe is brewed for 25 ± 2.5 s.
French press coffee, instead, is brewed by leaving the coffee for 2-4 minutes at atmospheric pressure (no high pressure involved) in 90-95°C water. The press in the name has nothing to do with high pressure, is just describing the fact that you press down the coffee grounds with the piston once it is brewed.