Prior to lunch time, NCMA had asked me to administer vaccines for her last patient so she could go to lunch on time. She gave me the sheet with the list of immunizations needed and advised that patient had the consent forms. I verified the insurance with her and went to get the vaccines from the fridge. The sheet said patient was a 63-year-old female. I had LPN verify my vaccines. Flublok was not available, so Vaccine coordinator advised it was ok to use Fluzone. However, after administering COVID and flu vaccines, I entered them in the system and saw it was a different patient listed on the consent forms (68-year-old male). Although patient received the vaccines that he needed, he should have received Fluzone High- I learned that I need to bring all forms with me including consent sheets whenever I verify vaccines and check the names on the sheets given to me to ensure it is the correct patient.