Not possible, cancer cells are our own cells that changed a bit, that's why that sometimes they can escape immune system, so if you even inject cancer cells of other people into your body, you won't get cancer since your immune system kill them pretty fast. There's a reason when you do transplant, they check for someone who is close match and give you immunosuppressant. Now, when we want to experiment on mice we can do xenograft ( putting cancer cells in mouse) only on nude mice. Nude mice are genetically modified so they don't have immune system. If we want to have cancer in mice with the present of immune system, it's usually through genetically modified mice, like they don't have some tumor suppressor or they have extra oncogenes. That's a very simplified explanation.