Sure, but not in Schweiz.
There is, however a nice, cheap camp ground in the village of Andermatt.
Andermatt lies like the hub of an old vagon wheel, with 10 major passes as the spokes in the wheel.
From there one can drive Grimsel, Furka, Susten, Nufenen, Bernadino, Sct Gotthard, Val Tremola...