I asked that exact question and was told no...
ALso, when you order a new key from NeedsWings, they program the rfid to your vin, so that would have to be the same as your existing.
But, that doesn't mean the car can't be told to accept more than one RFID. IF I was the o.p., I would order a brand new key from NeedsWings for 150, and if that works, great, if not, then go from there. I think there is at minimum 2 different issues with the car, 1 the locking mechanism which is independent of the rfid, and the car recognizing the rfid on the 2nd key. Since the 2nd key's rfid will not be recognized to start the car, they cannot program the keyless entry to work either.
Also, has the O.P. tried pressing the unlock button multiple times on the working key? I only saw the it would only unlock the drivers door.
And while thinking of it, with the key in the car that works, when driving, do both doors lock automatically, or via the dash switch?