The reason we don't feel the speed of light striking our eyes is because light does not possess mass and does not directly interact with matter in the same way as, for example, a physical object moving at high speed would.
When light travels through space, it behaves both as a particle (photon) and a wave. As it reaches our eyes, it interacts with the atoms and molecules in the cells of our retina. The energy of the photons is absorbed by the atoms and molecules, which then undergo various processes that result in the generation of electrical signals, eventually leading to the perception of light and vision.
However, the interaction between light and matter is not experienced as a physical impact or sensation like the collision of two solid objects. Instead, it is a fundamental property of light that it can be absorbed by certain materials, such as the cells in our eyes, leading to the perception of light.
It is also worth noting that the speed of light is incredibly fast—about 299,792,458 meters per second in a vacuum—so the time it takes for light to reach our eyes from distant objects in space is typically very short, making it difficult for us to perceive any sensation associated with the travel time of light.