Answer:
No, epidemics only include infectious diseases.

You might hear someone say that the cancer rate in a particular location is "of epidemic proportions", but they are just indicating that there are a large number of cases of illness in one place, as if it were an epidemic, to emphasize the unusually large number of occurrences. (With cancer, that might indicate that there is a chemical dump or some other cancer-causing element in the environment.)
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