Is it important to feel a connection with your unborn baby?

Well I definitely didn't feel the connection going on between us. I knew I was responsible for the little life inside of me and everytime I saw her through the ultrasound I was just very amazed. I must say the connection came only after she was born. Even throughout my confinement and into the second month she was just a cute little being to me. It was until probably past her 2nd month when she started interacting and responding to us that really sparked the connection and from there it just grows everyday. I hope I'm not alone!