Hi there, yes, with the modules included in H3000 Factory Mk II you should be able to get to a reasonable approximation of most of that algorithm’s sounds. The H3000 factory pitchshifters only go up 1 octave rather than 3, but the pitchshifters, delays, LFOs, Envelope follower, and Mixers should get you there otherwise.
I’d encourage you to read the documentation for the algorithm here. The short version is that the algorithm is modulated pitchshifters with filtering going into feedback delays. You may find it helpful to go through some of the presets in the 03 PitchShifting/MicroPitch folder, particularly Doubler 2.
You can use the Expert and Function sections to add performance controls and further mappings.