The short answer is no, they can't, given that they will generate a very strong immune response in the recipient. Even in immunocompromised (IC) patients the time required for few blood cancer cells to give rise to a full-blown cancer is typically very long, so only a very severe and long lasting IC could lead to cancer. In this context however, the chances of getting cancer simply because of the severe IC will be much higher than those of getting it due to blood donations. In the SCANDAT (Scandinavian Donations and Transfusions) database there was no evidence of increase in cancer risk among recipients of blood from "precancerous" donors i.e. from donors that later on were discovered to have cancer. It is also true however that cancer can be transmitted after transplant of solid organs, which suggests that the global number of 'transplanted' cancer cells and the subsequent immunosuppression therapy required to avoid organ rejection are also a critical factors.

Very rarely and unlikely to happen

http://www.abc.net.au/science/articles/2012/10/23/3616950.htm

http://www.cancer.org/treatment/treatmentsandsideeffects/treatmenttypes/bloodproductdonationandtransfusion/blood-product-donation-and-transfusion-blood-donation-by-cancer-survivors

It is evident that there are circulating cancer cells, DNAs, and RNAs that can transfect other cells and deposit metastasis in cancer patients. However, all avilable literatures regarding the transmission of cancer via blood donors, organ transplantations, or pregnancy negate this possiblity unless the recepient is immunocompromised and had enough number of aggressive cancer cells. Route of adminstartion in organ transplantation also favors the tranfere of such high number of cancer cells than those transfused via blood donation. Further studies are mandatory to fulsify this possibility or to prove it especially that there are cases of cancer transfere among other lower creatures.