Verified answer

No - the root system is relatively shallow and will be damaged when moved. The stress of the move will cause the plant to stop putting energy into the head and put all of it's energy into re-establishing a root system.

Cabbage is much like any other plant. From seedling to a certain size they can be transplanted easily but there comes a certain point when the size and complexity of the root ball makes it almost impossible to save enough to support the plant after transplanting. I suspect you would waste a lot of time, and cabbages, trying to move them once the head has developed. Buy some more plants for the other location.