Yes, but there aren't enough of them to affect the statistics. Here's the ethnic breakdown of Finland as of 2006:
Finn 93.4%
Swede 5.6%
Russian 0.5%
Estonian 0.3%
Roma (Gypsy) 0.1%
Sami 0.1% (2006)
Finns and Swedes make up 99% of the population. The first group that historically has trouble in school, the Roma, makes up a whopping 0.1% of the population. If schools can work anywhere, it's Finland.