It is possible to move skylights, in mass, from one location to another
We have been asked by the architects of a project at an airport in Texas to give a bid for moving a skylight from one location to another. This is not as difficult as one might think. However, it does require knowledge of how a skylight is assembled and the supports needed to crane the structure from curb to curb.
It also makes a difference on what type of glazing is in the skylight, the size of the structure, and how far you have to move the skylight.