Can you have a low grade fever with a cold?

Yes you can: The common cold (mild viral upper respiratory infection) is usually caused by the rhino or adeno virus. Common cold symptoms generally include cough, nasal congestion, runny nose, headache, and mild fever. However, a more acute onset and severe sxs including body aches and high fever is likely due to the flu (influenza virus). More persistent or severe sxs can be sign of a bacterial infection.