The scientist in me says "no way!" but alas I changed my tone when I got a sinus infection and felt unsteady and off kilter. Sinus infections should not cause a spinning vertigo symptom - if so then maybe the ears should be checked. BUT- when the eustachian tubes are not functioning well, and the head has pressure from trigeminal nerve discomfort of sinusitis, then you can get a complex "alterno-baric vertigo" causing a sensation of floating or rocking or vague unsteadiness while sick.