Certainly! Your child can begin hearing music about the time they are 20 gestational weeks old.
I began teaching Kindermusik when I was pregnant with my daughter. After labor and delivery, we popped in the Kindermusik CD, and played the music that was heard over and over again in our household with my toddler son. My daughter, who was nursing for the first time, stopped nursing and turned her head towards the music. We immediately turned the music off and she resumed nursing. All of the commotion in the room created by the medical staff did not cause a reaction, but the familiar tunes did!
I came across an interesting article today. If you are pregnant you might be interested in reading it.
Womb Music