Can sinus infection that has moved to hurting above eyes cause swelling in one or both arms?

Sinus infection: Sinus infections are isolated to the head and neck they never involve the lower extremities unless there is a massive infection that involves the veins that drain the head and neck. In these cases the whole head and neck are swollen as the infection extends to the brachio-cephalic veins that drain into the superior vena cava near the heart. There would be other signs and symptoms.

NO: No sinus infection will not cause swelling in one or both arms.