Answer by Alex K yes it is extremely possible frequently causes of this are due to the fact of an allergic reaction or a cold. as an example the allergic reaction will cause a migraine but since you wont be ill at the time it wont trigger a fever. another example of this is should you have a cold and blocked up airways then going in high altitudes like a plane or going deep under water can cause a sinus. eventually on the other hand you are additional prone to get a fever for the reason that of the sinus but only after a period of time.