Running into spikes wouldn't kill you anyway. Stuff like knives would.
It depends, really. Falling onto spikes (particularily the enormous ones featured in video games) would be pretty likely to kill you outright, assuming that they actually impaled you. Falling onto knives would probably have a similar effect assuming the knives are propped upright (and they aren't butter knives or something), although some knives would be too short to penetrate any vital organs.
If you ran into spikes (as in, a wall is covered with spikes and you decide to run into it for some reason), then it would be
very unlikely to kill you. The fastest clocked sustained human running speed ever was a little below 25 MPH, so you would probably bounce off the spikes with a few minor puncture wounds. Knives would probably be a lot more dangerous in this situation due to their shape, but I still doubt that they would cause any serious injuries.