means The act of bringing the foot down forcefully, or of pressing a tool or die onto a surface to impress a mark, shape, or design.

from From the Old English 'stampian,' meaning to pound or crush, and akin to the Old Norse 'stappa' and German 'stampfen.' The root carries the sense of beating something underfoot — the way you'd stamp grain or grapes — and from that pounding came the metalworker's 'stamp,' a tool struck hard enough to leave an image behind. So the foot and the die share an ancestor: both make their point by force.