15 years ago I heard the head of DARPA talk about the work that he thought would the hardest to do and the biggest reward. High on that list was what he called "an artificial nose"--a chemical detector so sensitive that it could reliably distinguish between millions of different scents.
To this day I don't think we are even close. Think about how we still use dogs in highly critical functions like tracking people, detecting drugs or explosives, or even detecting when a diabetic kid has a blood sugar level out of its safe range.
So, I think we are still a very long way from being able to arbitrarily synthesize a scent. I don't think we even fully know how a sense of smell works; it's not just the receptors but also the cognitive processing. As an analogy, look at the complexity required to understand and manage color perception. And physically, the EM spectrum is way less complex than the organic chemistry in scent.