The Studio display comes in three configurations…regular stand, height adjustable stand or VESA mount.
My understanding is that you can take the display to an Apple Store and they can convert it to a VESA mount for around $120. I'd call to find out. Then you can attach a VESA to the wall and bolt the display mount to it.
I don't know what kind of wall you have or how to get a proper, load-bearing mount attached to it. That may be the trickiest part.