Yes, the Fit/Jazz/City are all the same car. We don't have the City in the US yet, but there are rumors that it will come over soon. The City is just the 4 door version of the Fit/Jazz.
Evilist- there are a good number of tuners in California that have already swapped K20 engines into Fits. I'm sure the same could be done to your City- you'd just have to rewire a bit.