Certainly not. The typical symptoms of a COVID-19 infection are
- fever
- dry cough and
- runny nose.
Anosmia has also been described as a symptom in a significant percentage of patients.
However, many people with COVID-19 infections have also turned out to be asymptomatic, with little or no symptoms. Hence in short, you may not have a fever or flu symptoms to have a COVID-19 infection.
Best regards