@Inzone
This thread is 5 years old, but I have to live up to my username.
Please never say that again. Static electricity is the accumulation of charge on the surface of an insulator or in a conductor. It is not a phenomenon exhibited only by conductors. To illustrate this, try rubbing your plastic screwdriver with a wool cloth. Also, if you try to put on a wool shirt in the winter, you will probably feel a few shocks. The difference is that in an insulator it is very very hard to drive a significant current ('dynamic' electricity, if you will), and so the charge stays on the surface of the material rather than disseminating throughout it, and it is not affected by a connection to ground elsewhere.
A grounded conductor will not accumulate charge. A grounded insulator will. So, while you can ground yourself by touching a door handle, it's rather difficult to do the same for a wool sweater. So we can see that touching sensitive electronics with a grounded conductor is safe, because that conductor has no charge to discharge into the electronics. However, an insulator is hard to ground, and thus may likely carry a charge that will discharge on contact with conductive materials in your gpu.
It should also be noted that the danger of touching a charged object to an unpowered gpu lies not in the charge, but in the sudden rather large current that results when that charge is discharged. The gpu can be charged (within reason) without hurting it provided the charging is done slowly rather than all at once, and so once a conductor is in contact with the gpu, unless you hook a power supply up to it, it's very unlikely that that conductor will damage the gpu.
In sum, plastic wrap accumulates charge that does not easily dissipate, and thus is dangerous. Your screwdriver, however, has a metal end that you should have grounded before using, which is conductive and easily dissipates any charge it accumulates upon touching it to a ground. So, screwdriver safe, plastic wrap not.
In fact, plastic is often used in physics classes to demonstrate static electricity. This is because it's very easily charged. So don't use it to package sensitive electronics.