You can do a parallel shift of the job. With the job selected and displayed on the pendant, select [Utility], [Parallel Shift Job]. From this screen, you can select the coordinates you wish to use to shift. You can then teach a source and a destination point to create the shift value. It is a good idea to set the destination job to a new job name, just in case of mistake.
This is only a parallel shift, so if the tool is off rotationally, you will still be off. May be a good idea to add some extra Z, just in case, so you are not hitting the tool during touch up.
In the future, you may want to convert the job to relative job before the move, then after the move, you can just touch up the user frame(s).