No, we are not moving at the speed of light relative to a photon. In special relativity, the theory that describes the behavior of objects moving at high speeds, the speed of light in a vacuum, denoted by "c," is considered to be the maximum speed at which information or objects can travel.
One of the fundamental principles of special relativity is that the speed of light is constant for all observers, regardless of their relative motion. This means that if you are at rest relative to an observer and you measure the speed of light, you will always find it to be equal to "c." This holds true for any observer in any inertial reference frame.
Since the speed of light is constant, it is not possible for an object with mass, such as a person, to travel at the speed of light. As an object with mass accelerates towards the speed of light, its energy and momentum increase, and it would require an infinite amount of energy to reach or exceed the speed of light.
Additionally, photons, which are particles of light, always travel at the speed of light in a vacuum. From the perspective of a photon, time does not pass, and its experience is fundamentally different from that of objects with mass. It is not meaningful to discuss relative motion between a photon and another object because, from the photon's frame of reference, everything is stationary and time is effectively frozen.
In summary, while time is relative and the speed of light is constant for all observers, objects with mass, including humans, cannot reach or exceed the speed of light, and we are not moving at the speed of light relative to a photon.