If you're a real daredevil you can always give it a shot, but personally I wouldn't do it. Especially when going through the Alps it can get quite dangerous, aka snowy this time of year. Take a lot of time and be prepared to get stuck for a few days once you get to southern Germany.
And if you do get stuck around Munich contact me and we'll work something out
"Life is not a journey to the grave with the intention of arriving safely in one pretty and well preserved piece, but to skid across the line broadside, thoroughly used up, worn out, leaking oil, shouting GERONIMO!"