Yerp... I use rags or kitchen paper, with degreaser or Kitten interior cleaner, and it works a treat. I might use the sponge and leftover carwash in the bucket to do the tops of the headlights, radiator support, radiator and cam-cover, but keep water away from your injectors, coil packs and fusebox.
If you can remove it to clean it, do it!
I remove the air filter housing, top of the fuse-box, and the coil pack cover if I could be assed removing the intake pipe etc.