Regarding the OP, I checked with an epidemiologist and an oncologist, both with highly respected institutions. The answer is...Naah.
And let's use a little common sense (which appears in very short supply). From the time of the first vaccines until the date of the report was a matter of months, 8 at most. As was pointed out early in this thread, most cancers don't develop that fast. Second, where is the data from other sources that corroborates this statement? We should see a HUGE uptick of reported cases from all over, not just from one suspect quack.
Now, to be fair, there is a possibility that cancers and other conditions could be increasing since Covid hit. The UK has reported an uptick in diagnosed cancers, heart disease and other issues this year. Why? Because people delayed seeing doctors for a year or more, so the cancers, heart disease and diabetes that WOULD have been discovered last year are just now being diagnosed. Diagnosed is the key word. Even then, the increase is notable but not large.
Let's drop this nonsense, and instead be concerned for the hundreds of thousands of people who will suffer long term health consequences from Covid itself. THAT is what the docs are concerned about.