Live answer
Yes, it is snowing in Hammerfest at the moment. About 3.2" has fallen in the last 24 hours. The live camera above shows it.
About this snow cam
Hammerfest, Finnmark, Norway, is at 70.64°N, a subarctic latitude where snow is common for much of the year. This page shows a live camera with the current weather at its exact location, so you can see the conditions for yourself.
In a typical year, Hammerfest gets most of its snow roughly October through May. That is a rough guide based on latitude alone, and nearby mountains, lakes or the sea can change it. The camera and the 24-hour snowfall on this page show what is happening today.
This camera looks out over Hammerfest: streets, rooftops or the land around it, depending on where it points. The picture is live, not a recording.
Questions
Yes, it is snowing in Hammerfest at the moment. About 3.2" has fallen in the last 24 hours. The live camera above shows it.
Usually roughly October through May, going by latitude. Snow outside that window does happen.
The snowing or not snowing label comes from the weather model at the camera's exact coordinates and is refreshed about every hour. The model can be wrong, which is why the live video is on the same page.
Yes. The live map shows every camera, and the Snowing now only filter shows just the ones where it is snowing.
At this latitude winter days are short, so the camera can be dark for much of the day in midwinter.