No, Fay has not developed an eye yet. The western half of the circulation is largely devoid of convective activity, and without any squalls to wrap tightly around the circulation center, there really can't be an eye as we know it.

An impressive convective band has recently developed just east of the Isle of Youth on the western side of the circulation. If this continues, and more bands develop closer to the center, we could see some intensification overnight, especially with the onset of the diurnal max.