It is only objectively that a photon goes at the speed of light, if the photon would have a subjective then it would go infinitely fast, reaching infinity in a instant (as distance shrinks to zero and time stops). Is it something to be a photon? Does the photon have a existence of its own? Relativity is only for the observers, the one travelling doesn't perceive anything special and crosses the speed of light without problem (speed is a function of the distance and time, and the distance become shorter (length contraction) and the time slows down (time dilation) so in his perspective he is travelling faster than the speed of light while in reality the length is contracted and time slows down). He can never reach infinite speed though (of course), but the photon is already travelling the fastest possible which in the subjective view is infinite. It is called Proper Velocity.