Depends on your definition of 'remap' and how much power you want to extract from the engine. In theory, any modern engine can be remapped. But, for a non-aspirated 1.6 litre engine, is it worth it?
Without going down the turbo-charged and super-charged route (cost: hundreds, if not thousands of pounds), the most power you can add is an optimistic 10-15 bhp with 'cheap' mods (no pun intended) such as fully de-catted stainless exhaust system and air filters, etc.
You would be better off selling the car and buying a turbo-charged one for that matter...
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