The rules of the challenge are in the name; no spells and no jumps. The goal is to complete all ten chapters of Harry Obby, segmented or not. The spellcasting restriction exists because of spelljumps, but not being able to cast spells is not a big inconvenience outside of them. The true challenge, as expected, is the no-jumping rule. I have completed seven out of the ten chapters and only chapters 2, 4 and 10 remain. I have video proof of four completions, and proof of the hard part (the stair gap in the beginning) in chapter 8. The most likely easiest uncompleted chapter is chapter 2, with the hardest seemingly being chapter 4 – I have suggestions for both of them and for chapter 10.

Chapter 2: The problem is the second room (not including the classroom). The moving block is too tall to walk onto, but if you Edgeboost off of the ledge before the dropdown and then turn around before Harry hits his head on the roof of the hallway he just came from, you should be able to fly onto the block or the solid platform it goes in and out of. Getting there is not extremely difficult and the way to the end of the level is also not the hardest thing in the world.

Chapter 4: My idea is to take some objects over the wall next to the first elevator and then bounce on them to avoid the water, taking the world record route. Alternatively someone could look for a way to walk on the trees. The second hard part is the area just before the maze. Maybe you could throw some pumpkins into the water and bounce on them too.

Chapter 10: I don't think an Edgeboost from the first platform in Malfoy's Manner would work, but I got a huge one while testing out the last part of chapter 10, so it just might. The other option is to Edgeboost from a platform closer to Buckbeak. After trying the normal way and coming to the dirt hills I noticed that they're very smooth, with no Edgeboost-Spots. The gaps between the hills are also relatively big, so simply running wouldn't cut it. I tried running onto Hermione too, but that failed. That leaves the two previously mentioned options.