Perhaps. Benign or malignant tumors could cause headaches/pain, vision loss, proptosis (protrusion of the eye), double vision. There are many, many more common causes for headaches and eye pain, however, and a careful history and exam by your primary provider and eye care provider can determine if studies to look for a tumor are needed or if the pattern fits better for another cause of the symptoms.
Can you have a malignant tumor behind your eye without having any headaches, seizures or classic symptoms?
Yes! Tumors may not present with headache if meninges or blood vessels are not involved and there is no rise in the intracranial pressure seizures usually occur when cortex of brain is affected.