Interesting question. You would have to demonstrate that the cancer arose during the course and scope of your employment and not from some other source. I woukd recommend that you consult with an attorney ASAP.
You do have a Workers' Compensation claim. Your employer can require you to work under ANY conditions they choose. You have the option of quitting.
You should hire a WC attorney to assist.
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You got skin cancer because you failed to use sunscreen and/or a hat to protet yourself. You can also ask a Dermatologist/Oncologist about the latency (development time) for skin cancer. With a general latency of 20-30 years, you current employer may have a decent argument that your current cancer has developed from your sun-worshiping days in High School.
I represent Employers, but I can recommend Worker Attorneys in So Cal if you ask.