Strictly speaking, the idea is correct. That is how cancer begins. However, there's another check in place that operates outside the cancer cell itself: the immune system. A properly functioning immune system can recognize and destroy cancerous cells before they become dangerous to the organism. In fact, your immune system has probably already controlled or destroyed a number of them in your lifetime.
I recently read a fascinating account of some preliminary findings from the lab of Dr. Zheng Cui at Wake Forest university. His group took blood samples from 100 people and purified a type of immune cell called the granulocyte. They then evaluated the granulocytes' ability to kill cervical cancer cells in a cell culture dish. They found that it varied dramatically from one individual to another. One person's granulocytes killed 97% of the cancer cells in 24 hours, while another person's killed 2%.
They found some important trends. Granulocytes from people over 50 years old had a reduced ability to kill cancer cells, as did granulocytes from people with cancer. This raises the possibility that cancer is not simply the result of getting too old, but a very specific weakening of the immune system.
The most important finding, however, was that the granulocytes' kung-fu grip declined dramatically during the winter months. Here's Dr. Cui:
Nobody seems to have any cancer-killing ability during the
winter months from November to April.
Hmm, I wonder why that could be?? Vitamin D anyone??