Yes it's normal. Having anxiety is normal too. When people post about having anxiety they're usually looking for advice or someone they can relate to for comfort reasons - so I'm also unsure about the point of this post.
You're not alone though. I applied this year and I'm not anxious. I'm excited, more than anything else. The only time I've ever felt anxious about something school-related was right before taking the LSAT. Everyone is different.