Probably not, the shock can be imperceptable but still do damage.
The other thing to remember is that the damage is not always immediately apparent. It can take time to show up. With the cold weather outside and the dry air in most houses this is the time to be extra careful in preventing damage to your computer gear.
Wear a wriststap if you have one. Always touch a metal part of the computer to ground yourself before touching anything else, if you don't have a strap. Using some anti-static spray on your shoes can help. Save those anti-static bags your parts came in. Use a wire with two alligator clips, clip one to the bag and one to your case, then lay your parts on the bags.