I'm not sure about the pads, but from the ads and reviews it sounds like the pads are for triggering audio samples and can't generate MIDI events-- so, possibly "no" with regard to the pads, unless perhaps they can trigger MIDI Notes for playing drum kits.
The two assignable knobs should generate MIDI CC events if assigned to Cutoff/Resonance or Attack/Release, and probably also if assigned to effects levels, but I'm not sure. If assigned to Tempo then they probably affect the rate of the MIDI clock.
The assignable Pitch Bend and Modulation wheels should also generate MIDI events.
What are you wanting to control with it? DAWs and soft synths usually let you map their functions to specific types of MIDI events.
If you have detailed questions about the Kross 2, you might want to contact Korg for answers.