On all amps, all guitars (apart from the one with an emg in it) in all sockets around the house i get a hum which disappears when i touch the metalwork of the guitar.
Assuming the electric sockets are wired correctly and the amp's safety grounds are intact, a bit of hum reduction when touchng the metal parts is normal. The reason is that once you touch a metal part your body gets grounded and acts like a shield. The effect can be minimised by shielding the wiring in the guitar as much as possible. Putting covers on humbuckers also helps in that regard. However, it will not be possible to eliminate all of it since the pickups are susceptible to picking up stray noises as well, and if you shield them completely in a case you shut them off from the strings rendering them unfunctional.
The standard EMG set up does not ground the strings so you will not have the additional shielding effect by touching the strings since your body will not be connected to ground.
If you get crackling or loud popping you could have problems with static charge. This happens with guitars with plastic pickguards sometimes. Putting some aluminum foil underneath the pickguard helps and also adds shielding.
Cheers Stephan