I don’t thinks it’s your printer which get’s charged. But it’s never wrong to correctly ground it, take the ground wire from the power supply and wire it to all metal parts.
If for some reason (because of the floor or the winther clothes) you get charged and even through good grounding the electronics don’t like the discharges get yourself an antistatic wrist strap 28 and wire it to the printer ground.
I have never seen this happen, but I don’t understand what you mean, so chances are I actually have! How does this happen and what would it look like in a print fail? Thanks!