Is there any way to get power armor to a settlement without wearing it?

Power armour must be worn to move it (at least until the new GECK arrives). Power armour frames do not go into your inventory. When you buy one, they will appear nearby and must be worn to move. Power armour pieces do go into your inventory and are effectively in the inventory of the frame you transfer them to. When you use a Power armour workstation, you can modify, repair and equip all of the power armour pieces in your inventory, and the inventory of any Power armour Frame placed at that workstation. With regard to djsmiley2k's comment about using companions, I'd suggest using your companion to move an additional suit of PA, if you need to move more than one suit at a time (so rich!!). Dismissing them and waiting for the suit to appear seems like an awkward approach, imo.

The easiest way to get a power armour to a settlement that I can think of, is to bring a companion to that power armour, make them equip the suit, and then dismiss them sending them back to the settlement you want the armour at.

It'll eventually turn up there, empty.