Yes. Finland is a Nordic country. In for example Sweden you have two different definitions. Scandinavia which is where they speak Scandinavian languages, which is Sweden, Norway and Denmark. Then you have the definition "Norden" or nordic countries which also include Finland and Iceland. Iceland is a part of the Germanic language group and is much more close to what the first Scandinavian(mainly norwegian) settlers sounded like then the now Scandinavian speaking peoples. Finland on the other hand is in the finno-ugric language group. Which is the same language group as in Hungury.

But Finland is now days very close cultural connected to the the other Scandinavian countries. Cultural exchange started long before Finland became a part of Sweden. But one could argue that the swedification of the Finnish people started around 1150 with the first Swedish crusade to Finland. During the next 200 years Finland slowly became a integrated part of Sweden. Many swedes also moved east to Finland during this time.
Finland was a well integrated part of Sweden from the mid 14th century until 1809 when it was lost to Russia and became the grand duchy Finland in the Finnish war, a sub war of the napoleonic wars. Even though Sweden never went to war to reclaim Finland there were surely a lot of voices who spoke to do so. The Finish-swedish ties were still close. During WW2 Finland asked Sweden for help. Many swedes volunteered to help their Finnish brothers against Russia and Sweden also sent a lot of material even though Sweden as country declared itself neutral.
Many parts of western and southwestern Finland still today speak swedish as their main language.