Paths have special data structure that doesn't work with wiggle(). If fact the options that you have with path expressions is somewhat limited. You can link to another path, you can link to another path and use valueAtTime() to get a time-offset version of that path, and you can use createPath() to build a path. So theoretically, you could harvest the points of the path and apply a wiggle to them on a point-by-point basis (by actually borrowing wiggle from another property, like position). So you end up with a somewhat convoluted expression like this:
p = content("Shape 1").content("Path 1").path;
pts = p.points(); // harvest all the componets of the path
iT = p.inTangents();
oT = p.outTangents();
c = p.isClosed();
for (i = 0; i < pts.length; i++){
seedRandom(i,true); // makes sure each point gets a different wiggle
w = position.wiggle(5,10) - position; // use position property to calculate the wiggle
pts[i] = pts[i] + w;
}
createPath(pts,iT,oT,c) // rebuild the path with wiggled points