The cracks go deep into the lens, you cannot polish or grind them out without ruining the lens.
Minor chips and cracks in a car windscreen can be repaired with liquid fillers (resin?). This removes the air from the cracks which cause reflections, they become nearly invisible. I wonder if the same could be used to repair the chipped lens? The optical properties (refractive index, dispersion) of the material filling the crack will be different from the glass so it won't be as good as a replacement lens, but it should be better than nothing. The chips are small relative to the entire surface, I think if done right it could be successful.
It might depend on whether they are clean cracks into the lens (should be easy to repair), or chips from the surface (may be more difficult), it is hard to say from the picture. I wonder what the lens doctors here think of this suggestion, worth a try?