Could this happen in Canada? Yes, it certainly could and has happened in the recent past.
There are numerous cases where museums were damaged by fire, floods and high winds, and we can inform you of these during the question period. Perhaps the most dramatic one was the collapse of the roof of the Art Gallery of Grande Prairie in 2006. Thanks to the fast thinking of the director and the staff, the visitors and schoolchildren were evacuated minutes before the roof collapsed, destroying the building and much of its collection. This was a designated heritage site.
We cannot avoid all tragedies, but we can be better prepared to ensure our cultural buildings and repositories are not neglected.