The answer seems to be: sort of.
I've just started dabbling in frequency separation, spurred by this thread. however, both seem to be vaguely Fourier transforms, decomposing the image into components based on frequency, and they seem to have similar effects. Here is a very crude first try with frequency separation in photoshop:
One fundamental difference seems to be the application, not the math. As far as I have gotten with this in Photoshop, there appears to be no way to apply the transform automatically. Rather, one creates a layer (or several layers) that obscure high frequency detail using Gaussian blur, and then one merges the layers manually, using masks and opacity to fiddle with the application. In this case, I masked the entire original, with the high-frequency detail, and then painted it on with a brush over the bridge and foreground.
For anyone who is interested: I found several of the online tutorials about frequency separation confusing. A clear, basic one is here:
https://photoshopcafe.com/frequency-...kin-photoshop/