It should be possible. It is just that the rail (rb-24 skena, might be the Aero-3B) does not fit on the inner four pylons (different attachment system entirely), but requires an adapter (Lavett 24) or just the newer type of rail (Lavett 74) that came with the AIM-9L.
So, the image shows the outer rails seperately from the others, not necessarily completely loadout schemes. We haven't found anything systemwise that would prevent it, unlike other weapon combinations.
Whether they would ever use 6 sidewinders on an AJ is different however!