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From: At my Bar drinking and wrenching in Lafayette Colorado
No - it's not possible to drive without a shaft installed. The shaft holds the trailing arm/wheel hub in its location and is the major structural attach point - the only other attach point for the wheel/hub is the trailing arm forward bushing and the strut rod. The wheel will fold in without the shaft.
With one half shaft removed, the car will anyway not drive. The differential will just spinn the joke without half shaft, the differential's clutch package will not be strong enough to put torque onto the wheel with the halfshaft.
A friend has prooven this when he sheared one spindle. Motor turns to wherever to like to have it, Vette does not moove at all.