Yes, that may work. According to the article, hoarding the pieces and then taking a whole bunch to a bank makes no sense since the commercial banks in Finland usually charge too much. But maybe there are special conditions for charities.
The reason why this piece of news made it to the media is that the Finnish EU Presidency (1 Jul - 31 Dec) has just begun. At the opening event in Helsinki on Saturday, this undersecretary of the Ministery of Finance said that the 1 and 2 cent coins were not used in Finland, due to the rounding regulations. And since the circulation coins are legal tender in all euro countries, they are not flatly refused in FI either, but most people do not want to use them.
Don't know whether Rauhio was asked about that, or whether he addressed it himself. Anyway, maybe this was his way of suggesting that the rest of Euroland should do away with them too. The Netherlands have, by and large, already done that. And now that making such low value pieces has become so relatively expensive, maybe others will follow ...
Rauhio also said he does not believe that trashing them could be ecologically harmful

and that most Finns prefer non-cash payments anyway.
Christian