Cancer is generally not contagious. However, there are known cases where the cancer is transmitted (like the example above), mainly in animals, and very rarely in humans.
Transmission from person to person is so extremely rare, that it is not very likely to be causing, even a small increase of cancer patients.
(Of course, there are viruses that can be transmitted and could cause cancer. This however is not a direct transmission of cancer).
But, the existence of contagious cancer in mammals, means that, it is not totally impossible that it might be a threat to humans in the future.
Have you noticed how the number of cancer is low in third world countries compared to the western and developed ones? I think it has to do with eating organic food, mostly in my humble opinion.
There are so many differences between the life of a person living in a third world country and a person living, for example in America that you can't compare them so easily.
For example, the average lifespan is very different. Older people are more likely to get cancer. In addition, people who live longer have statistically more probabilities of getting cancer. This means that, in an underdeveloped countries, cancer should be more rare.
In addition, people with cancer may survive in developed countries (because of increased medical care), while in underdeveloped countries more people die because of cancer. This means that, in underdeveloped countries, people with cancer have much less probabilities of transmitting their genes to descendants.
And there might be more.
Of course, lifestyle should also play a role, but it is hard to determine that without a proper research.