No. There are powerful controls.
First there are private protocols. We don't publish the details of those but they involve authorisation by several people from multiple companies.
There is also a transparent public protocol. For a removal to occur a 'Withdrawal Declaration' must be published on the BullionVault website's front page 24 hours before the bullion moves. This declaration identifies by alias the holder who is making the withdrawal. Any user can then check the published register to see that the withdrawing user has at least the quantity of gold which is being declared for withdrawal.
The vault operators are not allowed to complete a removal of bullion without confirming the validity of the public declaration for themselves.
Additionally under no circumstances can an amount exceeding the larger of 25 kg, or 5% of the total stored, be removed from the operator's control on any one day.