I'd try contacting these guys:
Dream Cycle - Custom Bikes
and see if they can custom build one for you. But I'd strongly recommend you to keep this in mind -- the side car will add quite a bit of weight, and if you ever intend to actually have a person sitting in it, it'll add even more weight. All of that needs to be moved by some sort of power.
The Smike in your picture seems to be an electric / electric-assist bike (or at least, it has a electric hub motor in the front wheel). It seems to me that it'll be quite difficult to power that with our own 2 feet.