This is called parthenogenesis and is a known phenomenon, albeit rare in vertebrates. Some species, like the New Mexico whiptail, rely on it (all New Mexico whiptails are female).
The New Mexico whiptail is also an F1 hybrid. If they go extinct, you can make more by hybridizing a little striped whiptail and a western whiptail. In case anyone thought that 'species' was a solidly defined word.
No, in Jurassic Park African frogs are used as the genetic gap filler, these frogs (and therefore the dinosaurs) are able to change sex in same sex environents
Genomic imprinting says no. It wouldn't produce a fetus that is in congruence with the possibility of life. It could at most start growing and developing, but it would die in the womb. More akin to a tumor than to a baby.