J.A.
Yes, this is normal. Honestly, it's mostly a phase that passes. Do the best you can to engage her while you change her. Make it a game, sing a silly song, make faces, and be fast. It might help to have toys she only gets while being changed. Mostly, though, they just outgrow it.
You'll never have this time again. Find the humor in it all. It took me a kid and a half to realize that this is more fun than it seems at first. lol