Perhaps much sooner than that, at least with worms. This is a simple organism, it does not need 9 months in a womb like we do.
For some animals, maybe. I'm not so sure of those that require a womb.
A living organism born from a womb is not just the result of its genetics, but also of its interaction with its parent while in the womb.
If an animal is extinct, then you won't have an animal of its species to gestate in, so you'd be forced to either use a different animal or an "artificial womb" (if that ever becomes possible). In either case the environment it gestates in will be different from gestation in the real animal of its own species.
It's an open question whether the result of that will really be the same as the extinct animal, even if the genes are the same.
So, not really.