You can link layers together so they don’t “disalign” but it won’t prevent them from moving as a group. If you are looking at a way to prevent any layer from moving, that is not possible, but if you want to link all the layers so that they all stay align together, that you can do:
- select all the layers you want to link, holding the Ctrl key to select them one by one
- click on the link icon just above the Layers palette
That should do it.