If you are pregnant your navel is a different shape than it was and it will continue to shape differently as your body changes. Any peircing done on rapidly changing skin is going to look different than when it was done.
Sure, my daughter-in-law did and she wore jewelry without discomfort up to delivery. Navel piercings are easily infected so you'll need to be careful, but don't let pregnancy stop you.
I would not get your navel pierced while pregnant, as the skin on your belly will be stretching. This can irritate the piercing, making it more difficult to heal. I would wait until after giving birth.