Good god no! Chemotheraputics alone are incredibly dangerous and should be be administered by someone who knows what they're doing. Going beyond a personal safety issue is public safety.
The whole theory behind chemotherapy (and radiation therapy) is that we administer poison in a controlled way and hope the cancer cells die first. Someone who has no idea what they're doing could easily kill their self -- I don't even what to consider what a person with malicious intent could do with it.