Honorbuddy does not do this natively, and it is the entity responsible for out-of-combat movement.
There used to be some Combat Routines that made up for the deficiency (FPSware's from looong ago comes to mind). But, I don't know if there any modern Combat Routines that do this. Technically, it is not the Combat Routine's job to do this.
You might dig around the Combat Routines available today, but I wouldn't hold my breath.