I suspect that what we are calling "giftedness" is also about developmental arc over a lifetime, so it's not really about potential in the sense of achievement. You get the developmental arc whether you are at potential or not.

Prodigies would seem to be a combination of specific developmental arcs, whether gifted or not, and a specific sphere of talent/ability.

You can probably forcibly create a prodigy. I would expect that such creation is not pleasant for the prodigy, since you are forcing the prodigy into the absolute top of the possible developmental arc for extended periods of time.