Do figure skates come in half sizes?

I’m looking to buy a new pair of ice skates. I am just skating for fun, nothing serious, and I prefer figure skates. I tried one size and it was too big. How different are ice skates to shoe sizes? I’ve tried the same size I have at the store and I found it too roomie and I tried one size down and my toes are pretty much touching the top of the skates. I’m not sure if there’s maybe half sizes, or I should look for a different brand or store for more selections.