Plane waves of starlight (wavelength is constant) is arriving from upper left 45 degrees. Two spacecrafts are sailing in the right and left directions. Number of waves hitting the front and rear ends (A and B) of each spacecraft is the same. Therefore, number of waves existing between A and B is invariant (for both spacecrafts, regardless of lateral motion). Lorentz contractions will be impossible.
Relativity of simultaneity will be impossible also.