Is it normal that my first memories are dreams?

My very first memory is falling through a hole from the sky in a dream, which is pretty weird for obvious reasons. After I fell through the hole it went black, I remember nothing after that. My first conscious memory was when I was 2 and I listened to music on my dads Walkman, however I remember my dreams from before that. I wonder if the earliest thing that people remember is also dreams instead of a conscious memory.