Hi Natas,
virtually it's possible, but is very difficult to establish a population of this insect outside of its natural range.
These are insects that have a very complex life cycle, they are not invasive as it could be a parasite that quickly colonize new lands.
First, in unsuitable climates, the wasp can die because of the cold, or because there is not a steady production of caprifigs which ensures the reproductive cycle.
Also in its habitat, wasp colonies may go extinct over large areas due to lack of caprifigs or unfavorable climatic conditions.
The attempts to introduce it in California were many and almost all unsuccessful. Some claim that B. psenes was introduced also in South Africa and Australia but i have not seen a photo of a pollinated fig from these countries, or seedlings born from figs grown there.
You can try, but you must have some different caprifigs, in order to have more chances, because not all have a regular production of "profichi", "mammoni" and "mamme"; many caprifigs don't produce mamme, or only very few, and this can break the wasp cycle.
Assuming that you will have some adult caprifigs, with regular production of the three crops, you should get the wasp, and here comes the fun.
I don't know what is the best time to take the wasps to carry them, but suppose that is the time in which is practiced caprification (June, in most of the Mediterranean area?).
Assuming that your caprifigs have receptive "mammoni", you have to find a source of "profichi" full of wasps.
These wasps have to face a very long journey, to stay alive inside the syconia, with unfavorable temperatures, and everything bad related to the journey, from the country of origin to Korea.
If wasps arrived not hurt or damaged, they will colonize your caprifigs, and this will be the first generation, then reproduce and overwinter inside the "mamme", and survive the cold.
Next year, and for the next years, if everything goes well, the cycle will repeat itself.
For me such a thing is Science Fiction, but if you are brave can try to do it.