No, you can't see it, because it doesn't exist. Light travels at the speed of light, and not faster.
Light travels at the speed of light, because it has virtually no mass. Having no mass means it is symmetric in spacetime. You can't be more symmetric than symmetry. Imagine it like a Cartesian coordinate plane, and traveling a light speed means you are at zero. You can't be closer to zero than zero, so you can't travel faster than this speed.
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And if there was a smaller particle??!!
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The discoverer of which would win a Nobel prize. But it doesn't really make sense, because photons don't really have "size" per say.