You will find it to be impossible. Regardless of how capable one may be at such a task, it is utterly impossible for any one of us to climb a ledge--and this is not limited to particularly high ledges, either.

I suggest you take note of the oddities you come across in this world. Or how many are here from the same planet, yet very few seem to be from the same version of that planet. At best this is a crossroads between dimensions and realities, at worst...well, I have my theories, but perhaps that is for another time.