Yes. I have a friend in Canada who has raised three females together but they were never, ever with a male.
Yet one of the females nests and lays eggs each year. But they are not fertile.
Yes, sexually mature females will lay eggs. But obviously unless she's been bred by a male in previous years they aren't going to be fertile. Many people that have wild caught females of a species and no males will get fertile eggs from those females because they had been bred in the wild prior to being brought into captivity. The fertility rate decreases each year. I've heard of wild caught females producing fertile eggs as long as 5 years after being in captivity.