But yes, there are some chances, but improvement of "power" will be small, maybe very small. If you have petrol engine, all you can do is:
1, real chip tuning (will increase max 5 horse power and few NMs)
2, modify air intake
3, replace whole exhaust without catalytic converter and silencer
4, add specific racing camshaft
Result - it costs 2500 Euro, gives you aditional 8-10 horses + car without catalytic converter = doesn't pass MOT + tons of error icons on dasboard because of unplugged lambdas, inproper fuel mixing, idle questionable, VVT off... so as guys said - no chance, 10 horses you almost doesnt feel.
Another chance - to make car much lighter because of its weight - but what you can change here? Let some company to make custom parts from fiber? 10.000 Euro?
Third option - install different custom engine, but whole original suspension+brakes must be modified to handle that big power
Yes, we can see a lot of modified Puntos over internet, YouTube, but those are "visual" tunings, bigger wheels, distance pads, custom silencers, lowered suspensions. Those cars are only "louder" but not quicker