Hi Nuno
Yes it is possible to make your Jazz a Cable driven K20 or even K24 work.
I know this Honda Jazz was brought to the States
http://www.cardomain.com/ride/3038526
This car was JAZZ you can see the Brake resivior on the LEFT side of engine bay
HERE is my car with Brake resivior on RIGHT side of engine bay

So the Mounts are the same place you can use HASPORT FIT swap mounts
And USE CABLE driven for the engine
Here is a copy and paste from a Cable driven FIT From Getinafit
I Just finished the custom bracket for te use of the EP3 Civic SI accelerator pedal cable actuated!
Here are the pics! Enjoy! NOTICE THE CONNECTOR FOR THE DBW PEDAL JUST HANGING!!! YES!!! IT"S GONE!!! NO MORE DBW!!!! YEAH!!!!



Mated harness (L15A1 and K20A2) With ECU clips for 2 ECU's!

The only thing is the Euro ECU might be slightly different from the US version so it would be something we would have to TEST with your ECU if we could reflash it here in the states. other then that everything is possible with the Euro JaZZ to make it K swaped