* Inertia: Yes, a stationary object has inertia. Inertia is the tendency of an object to resist changes in its motion. Even though it's not moving, it *would* resist any force trying to set it in motion.
* Momentum: No, a stationary object does not have momentum. Momentum is a measure of an object's mass in motion. Since it's not moving, its momentum is zero.
In summary:
* Inertia is a property of all objects with mass, whether they are moving or not.
* Momentum is a property of moving objects.