No. You will be unable to register without an up-to-date tetanus and diphtheria booster. The booster must be administered every 10 years. Students receiving their decennial booster must receive Tdap (tetanus, diphtheria and pertussis), or Td (tetanus/diphtheria) per listed requirements.
You can  receive immunization from a healthcare provider or local health department. You can also schedule an appointment with Student Health Services (call 703-993-2135) for your immunizations for a fee.