Is it possible to build without a basement on a 10% slope?
If you don't have the 10% within the building window, then it's possible without a basement. But I doubt that.
Pure assumption: Your plot is 22m wide and the slope goes from the street down to the garden boundary, then you have a height difference of 2.2m over the 22m.
If the slope is theoretically evenly distributed over the plot, you will have a height difference of 1.1m in the house area. Now you can imagine how thick the floor slab will be on the terrace side if you build without a basement?!?!
Our construction phase with 22 plots is on a hillside. We ourselves got about a 13% slope (about 3m over 22m). Basement, civil engineering work, and slope stabilization cost us over 100k€ extra.
4 plots away, a neighbor built without a basement; there the floor slab is about 2m thick. He may have saved 20-30k€. It looks awful. Because of those few bucks less, he gave up 70sqm of usable space. Wonderful.