Yes, fibre orientation affects the moisture diffusion considerably due to the variation in fibre dispersion as well as edge defects at fibre in the composites....
These investigations are helpful, go through these,
1) The effect of fiber orientation angle in composite materials on moisture absorption and material degradation after hygrothermal ageing
2) Effect of geometric dimensions and fibre orientation on 3D moisture diffusion in flax fibre reinforced thermoplastic and thermosetting composites