Yes, there is. Regular 9mm is 35,000 and +P is 38,500. SAAMI has their ammo specs online at
SAAMI Standards – SAAMI .
Ah, but which maximum pressure? SAAMI has 3 separate maximums, what follows are their maximums for piezo-electric pressure sensors. Maxim Average Pressure (MAP-what you quoted above) is the limit SAAMI expects US makers to produce 9 mm +P ammunition at. Then there's Maximum Probable Lot Mean, which is 39,700 psi, 2 standard deviations above MAP., which should probably be considered the actual maximum pressure. Finally followed by Maximum Probable Sample Mean of 41,500 psi. No ammunition sample should ever show a pressure above that.
A couple of other things about NATO spec ammo (the standard: STANAG 4090 is available online): there are a range of allowable bullet weights and a delivered energy standard to be produced from a 7 7/8 inch test barrel. Reaching a 400 ft/lb minimum/600 ft/lb maximum with bullets between 108 and 128 gr isn't all that tough from a barrel nearly 8 inches long.
BTW- the NATO/CIP piezo-electric pressures are given in MPa units, 230 MPa as equivalent to the 37,000 psi radial copper measurement. I think I found a rough conversion to psi, but the results are screwy, possibly due to the differences in measurement methods. About the only way we're ever going to get something close to a direct comparison is if someone fires a lot of ammo in both a NATO test barrel and in a SAAMI test barrel.
Added edit: I got really deep in the weeds on CIP pressure measurement and learned the following: SAAMI lists the 9 mm max (MAP) piezo electric pressure of 35,000 psi, CIP lists it at 34,000 psi (close to what I calculated) and that the CIP and SAAMI pressure measurement methods are indeed different. The real glitch in the works is that NATO supposedly uses neither pressure sensor method. [Right way, wrong way and the NATO way!!] So, we're back to doing a side by side test of a given lot of ammunition.