No you can't - filters, LFO, envelopes and effects are applied to the entire pad, you cannot apply them to individual layers. The workaround is to layer using 'SIMULTANEOUS PLAY', so set up the first sound on pad A1, second sound on pad A2 and layer them together by setting simultaneous play on A1 to also play A2. You can now apply unique filters and effects etc to each 'layer' (i.e. each pad).
Here's a free tutorial from my MPC Software book that covers the different methods for laying in the MPC Software (Ren/Studio are shown in the examples)
http://www.mpc-tutor.com/mpc-renaissanc ... -layering/BTW considering the Live/X haven't been released yet, I'm assuming you are using the Touch/Ren/Studio, so I'll move this to the more appropriate forum.