Of course not. Where does it say 3.5% of those who received the vaccine had cancer in the Express article you posted? I did not see that and I read the whole thing.
Eight percent (43 of 537) of patients underwent a biopsy; 34 (79%) had benign results (Fig 2) and nine (21%) had malignant results (Table E2 [online]). Four patients were diagnosed with metastatic breast cancer (Fig E1 [online]); all had suspicious concurrent mammographic findings in the ipsilateral breast. Four patients were diagnosed with lymphoma; three patients already had known diagnoses, and the fourth patient presented with bilateral lymphadenopathy (Fig E2 [online]). One patient with a known history of lung cancer was diagnosed with lung cancer metastatic to an axillary lymph node.
So they had breast cancer (all new), lymphoma (one new), and lung cancer (thought to be under control or gone from prior treatment, but it went metastatic).
Obviously the known cancer cases were not seen to be influenced by the shot, but the rest were novel after it. Obviously, new cases will come, regardless of shots, but only 8 percent of those with inflamed lymph nodes were tested. Therefore, it is likely more of those with inflamed nodes could also have malignancy.