Few years ago I put a computer together but it wouldn't turn on after completion. I opened it up to find I had the power button wire flip around. I went to turn it around and without being grounded I touched the motherboard. I felt a big zap between the motherboard and my figure. I had the computer plugged in too. After the zap the computer turned on with just the static. Luckily I didn't break anything.
People kind of exaggerate the whole static thing. I mean YES it CAN damage components, but unless you like shuffling your feet on carpet for an hour before touching computer parts youll probably be fine. But on the safe side an easy thing to do is work on yoru computer on the ground and just touch the outer metal part of the case and it will discharge any static electricity safely, and youll be good to go.