Yes by the assign matrix, but you have to set it up for each preset. Hit menu, then control assign, then assign settings
In there you would use "tone sel part sw" for P1, P2, P3, P4. and on next page under source change it to midi cc# and use any midi cc number you wanna dedicate too it etc.. Make sure you save each preset after you're done setting it up.
Alternate route you can buy four boss fs-5u switches and 2 Y-cable things (forget the name right now) and go to control assign, then control function and set up ctl 3,4,5,6 in that matrix for "part on/off" etc.
That worked. Could even assign parts 3 and 4 to the same cc number.