No it isnt possible. Cards do send a Another signal to the wiegand controller than the code, so the wiegand controller wont accept a card entered as a code, or a code entered as a card.
You could ask the landlord or administrator of the building to add the tag for the different lock, into the "authorized list" of that reader or controller. Then the tag on your keychain, which is EM4102, will then work both for the lock where it originally works, and for the lock on your building, so you have one single tag for both locks. Thats not a security risk since nothing is stored inside the tag except for a read-only serial, the tag itself does not know where it belongs to.
But I Think you will get a card. Propably there was keylock or only a code lock Before, and its very common when Rolling out a card-access-system, to just give a common Group code, until cards are rolled out.
Then the common Group code is deleted from system. This to ensure no authorized person is rejected access to the building until the transisition period is over.
I have even seen setups where administrators, when setting up card readers without a keypad, to put a common card inside a "real estate lock box", and give the lockbox code to everyone that should have access to the building.
When all cards/tags are rolled out, then the common card and lock box are removed from the wall and from the authorized list.