can only recode if you have got the SKC, and you can only get that if you have a matched key in the ignition

if you do get a new chipped key make sure you get the transponder box to match, then you can match your ecu to it with vag-com. the problem comes when trying to match a key to a transponder box, this is when you need the SKC.
vw can cut you a new key based on your vin, and can also code it to your transponder box but this means transporting the car to them. VW can request an unlock code for the immobiliser box which gets around the SKC problem.