Cannot speak for genetics, but linguistically it's definitely not. Like @Zoraptor says above, Estonian is closer by a decent margin. Take this from a native Finnish speaker who has studied quite a few languages and knows a thing or two about the topic: listening to Estonian, a native Finnish speaker is just on the verge of understanding it; the sentence structures are almost identical and the vocabulary sounds incredibly familiar. It's a bit like listening to someone who is extremely drunk or slightly unhinged: you know they are speaking something that you almost understand, but it doesn't quite make sense. However, a native Finnish speaker listening to Hungarian will understand nothing. It's just another foreign language that definitely requires study before you even get the basics of it.
By the way, here's another detail about Finland that I think is quite interesting and something someone like @BruceVC might appreciate: whereas a country like Italy has a clear north / south division, in Finland the division is east / west, with the west doing a lot better in many ways. Whether it be overall health, employment or other stuff like that, people in the western parts of the country are likely to do much better than those in the east. Some of the details are downright bizarre: a Finn from the western parts of the country is much less likely to get into a serious accident than someone from the east (which is a nice demonstration of how everything tends to coalesce, i.e. healthy people tend to have jobs and friends and interesting hobbies and not a lot of stress and all the rest of it, and it all comes together into a whole, whereas people at the other end of the spectrum tend to lack much or all of that and thus tend to get into all kinds of trouble much more easily. Chronic stress seriously impedes your thinking and thus almost certainly makes you more accident-prone, perhaps even Hemingwayanly so.)