The only reason I could claim to know anything about this is the crash course I took upon myself when interested in a house with a buckled basement wall (block).
In theory, you would need to straighten the wall, and place #5 rebar in the cells (closer to inside wall) and then grout it. Or rely upon the many commercially available remedies such as columns or tiebacks.
Who knows what the cells currently have in them, or the alignment of cells? Each cell would need access and a grout pump would need to be on-site for some time. Access would most likely be a large diameter hole from a hollow-core bit near the top of the wall and a weep hole (or two) further down.
I have a hard time seeing this as a sweat-equity project due to the equipment involved (vibrator, grout pump, rotary hammer) over an extended period.
I also doubt a contractor would have at it unless the building was jacked-up and the wall was rebuilt. Great opportunity to make a taller basement, for sure. The experience is out there. This sort of work is done not just for money, but also for the sake of saving something "worth saving". Those folks are out there both as owner and contractor, they just need to get together.
Getting a vibrator into the cells would be problematic.
Would I get involved? Only if the numbers looked good for all parties concerned.
If on a large lot, you might be better served by moving the building to a new foundation. Usually that's not the situation, though.