This is simply an idea I had in mind. If anyone are familiar with W40K Eldar canon/fluff. They're more or less a "dying" starfaring Nomadic race, in a similar respect to how the Quarians of MassEffect 3 operate.
Now the difference between the Eldar and the Quarians, is that the Eldar have what are called CraftWorlds, which are in scale the size of a small moon and operate as a sort of slow moving homeworld, I realize there are also "Exodite" worlds of the Eldar, they are generally primitive, the ideology is to restrict technological growth in a sort of Amish style retreat from their previous culturally advanced technological wonders that the Craftworlds represent.
So as the title reads.
Is it possible to create/engineer a Homeworld that, can move?
How would shipyards work in conjunction with such if possible?