The short answer to your thread title is yes. Any species of animal can be infertile or sterile. To answer the question in your thread body (expounding on Ed's response), is that some female will quit eating while their follicles are building, some won't stop eating until they have ovulated, and some will eat right up to within a week of laying eggs. As far as how long it will take for her to lay eggs, pay attention to her, and once she ovulated, you can start looking for eggs about 40-45 days later (a tad longer in some instances).

Hope that helps,