Can you get the flu with no runny nose or sneezing. Just a headache, sore throat, and body aches?

Typical influenza. Although flu (influenza) can cause nasal congestion and sneezing, often it does not. Your symptoms are very typical -- especially if you have fever and also develop a cough. However, you shouldn't assume the diagnosis, and flu season is over. So see your doctor -- if s/he believes influenza is likely, treatment with an antiviral drug like oseltamivir (Tamflu) may speed recovery. Good luck!