Electrostatic Discharge is a danger to all electronic components within a PC.
The actual incidence of components being damaged by ESD is relatively low. However, it's important to take precautions when handling electronic components.
Wear an Anti-Static Wrist Strap. This will earth you, ensuring you don't carry a significant static charge.
You can also regularly touch earthed objects in your home, for a similar effect. Most household radiators are earthed, for example. Regularly touching the metal of your PC's case can also help to reduce your static charge.
Use an Anti-Static Mat when working on components. That will help keep them isolated from static charge.
Avoid rugs, carpets and fabric surfaces...