This depends on whether or not you have a finished or unfinished attic space.
Finished Attic: If your attic is actually a finished room with easy access, like a loft, then absolutely we can. We treat a finished attic the same as any other room in the home.
Unfinished Attic: If your attic is unfinished then it most likely does not have any flooring and is difficult to access, usually from a pull down ladder. These attics make moving extremely difficult and unsafe, both for the movers and for your property. It is because of this that we do not move items in/out of an unfinished attic space.