If people were allowed to make an RP in the Ilium section, yes? O_O But Ilium is one big rp itself, so you are not able to make a roleplay in there, you just join that and participate in the threads that exist!
OH! That makes much more sense! In that case YES! :D I don't recommend doing it if you only need one partner for one plot (because those get filled soooo fast) but, yes! Totally can!