A pixel is a relative unit of measure, it does not have an absolute size.
Edit. With regard to your edit: again, you can only calculate the distance between two pixels in an image in pixels, not in centimeters. As a simple example, think video projectors: if you project, say, a 3×3px image onto a wall, the distance between the leftmost and the rightmost pixels could be anything from a few millimeters to several meters. If you moved the projector closer to the wall or farther away from it, the pixel size would change, and whatever distance you had calculated earlier would become wrong.
Same goes for computer monitors and other devices (as Johannes Rössel has explained in his answer). There, the pixel size in centimeters depends on factors such as the physical resolution of the screen, the resolution of the graphical interface, and the zooming factor at which the image is displayed.
A pixel does not have a fixed physical size, by definition. It is simply the smallest addressable unit of picture, however large or small.