It's not clear what you have now. Are your sconces supposed to mount to a box in the wall? Are they self switched or are they controlled by a wall switch? Where are the existing outlets located vertically on the wall?

You might be able to fish the wire vertically to a basement or attic.

You might be able to fish down and then horizontally behind a removed baseboard.

Are the walls already finished?

@PPF. I didn't know at build how I was going to style this space (sconce size/location/if I'd even use a sconce), so instead of specifying a junction box that I might not put in the right spot or might not use, my intention was to have the outlets so I could figure it out later. Worst case scenario I would just do plug in sconces but I don't like that most of them have switches on the cord, which means I can't hide the cord. For this project if I can hardwire, I would get sconces with switches on the wall plate so I wouldn't need to hardwire them to a wall switch as well. Existing outlets are located near the floor.

@res2architect Walls are finished. Basement is finished but this wall is the wall to the utility room in the basement, so I may be able to fish that way but not sure.

Here are the outlet locations. The red is the outlet in the study that I might be able to use?

@res2architect Just checked and the utility room has a finished ceiling so I can't tell if I'd be able to go that way. That's a load bearing wall, so I'm not sure if that changes things. Fishing under baseboard might be ok though since it's just one stud over. But this sounds like a job for a pro, not a novice like me.

If you just need to move over one stud, easiest is to fish through the baseboard area. You may need to cut a small notch in the stud. If you do, you have to cover it with a plate to protect the wire (like this one).