Usually you'll need a lot of stamina to do this, and multiple playthroughs to accumulate that much stamina from defeating colossi (white-tailed lizards don't make that much of a difference), but I found this trick on youtube to do it earlier. I was on my second playthrough, after the 6th colossus (and had taken 76 white-tailed lizards), but you can probably do it a bit earlier. I can't say it's possible in the first playthrough, but someone might want to check after killing the 15th colossus.
All credit to DignanFischer's channel for figuring it out, making and uploading the video.
He explains: "The secret is to jump down on the slope, keep running (so you don't fall down on the platform) while your stamina refills, and then jump off the slope to continue your way up. (Sometimes it's hard to jump off the slope.)"
It might take a few tries, and to jump off the slope, from that corner, jump in the direction of the wall right next to you.