Why not? My girl is 2 months old and I've been reading to her ever since she was born.
Your baby has been hearing your voice ever since she/he was in the womb and even if she/he does not understand the meaning of the words, the baby will be comforted by your voice and it will form the base for healthy mother-child bonding. :D I say do it!
http://sg.theasianparent.com/importance_of_reading_to_baby/