I think it's possible, depending on the cancer. However, at an advanced stage you are going to be experiencing abnormal symptoms in your body and those symptoms are warning signs something is very wrong. At that point a wider spectrum bloodwork would probably be done if you are trying to figure out what's wrong and something would probably show up abnormal.
I had colon cancer, it did not reach the advanced stage (4) but at stage 2 my bloodwork finally began to indicate anemia, however, I had been very tired for several months already and suspected low iron. My body told me something was wrong long before the labwork did.