No. High eye pressure or intraocular pressure (IOP) is not always harmful and not always associated with glaucoma (damage to optic nerve).
The normal range of intraocular pressure is traditionally considered to be between 10 and 21 millimeter of mercury (mmHg) but there are people who have high IOP but no glaucoma. This condition is called as ‘Ocular Hypertension’ (OHT).
On the other hand, there are some people who have normal eye pressure but they still have glaucoma. This condition is called as ‘Normal Pressure Glaucoma’ (NPG).
Eye pressure therefore is just a risk factor for glaucoma. Whether it is normal or high varies from person to person.