No. Trace amounts of pesticides found on conventionally produced foods has not been strongly linked with increased cancer risk.
People who are exposed to these substances in larger quantities such as farmers, agricultural workers and landscapers, may experience negative health effects.
A 2018 study published in JAMA Internal Medicine suggested people who eat a mostly organic diet have reduced cancer risk compared to consumers of non-organic foods. However, the study is observational. It cannot prove cause and effect.
Further, this type of research can be misleading. It is likely people who eat more organic food also engage in other cancer-protective health behaviors such as exercising more, drinking less alcohol and eating a healthier diet overall.
Due to these confounding factors, there is no way to know if organic foods themselves are what led to lower cancer risk.
For the average food consumer, including people with cancer, following recommended food safety practices is the most important thing you can do to keep your food safe and nutritious.
Avoiding pesticide use in and around the home is another practical way you can minimize your exposure to these potentially harmful substances.