I would actually say yes, and the way I'd say that is that Cortez was not merely
Spanish, but specifically Spanish
Low Nobility. Now I'm going to quite a bit back, into CK2 territory rather than EU4 territory. Also here we see European Low Nobility pulling off quite ballsy feats, or at least risking all in the attempt. You have the Hautevilles, but you also have
Roussel de Bailleul, you have the various Condotierri companies, including Sforza who managed to turn his mercenary company into being Duke of Milan.
If you look specifically at Medieval and Renaissance Europe, prior to the consolidation of states, there's "stereotype" that seems to reoccur, that of the "Second Son" (to the extent that the Normans have even been referred to as a "Culture of Second Sons"), getting the education only afforded to nobility. One who has tasted the luxury of nobility throughout his upbringing, but who stood to inherit no land that could ensure he would
keep the life of luxury. Skilled in the art of warfare (especially since Medieval European Nobility specifically
derived their power from their status as a military elite. Their raison d'être as a social caste
was skill at warfare), yet only receiving a Second Son's inheritance, in the form of fighting equipment and enough money to maintain a few retainers.
The common Second Son often ended up a mercenary, and they formed the bulk of
many a mercenary company. But, some of these Second Sons were more ambitious, and were not just skilled in fighting, but in tactics and leadership as well. These ended up being the
leaders of mercenary/adventurer companies, and among those leaders a few were skilled enough, ambitious enough and
ballsy enough that they turned to wanting to carve out their own principality. In the Middle Ages, these are Robert Guiscards, and the Tancred of Antiochs, and also the Hernán Cortéses, and the prestige and wealth they could acquire is how you get the Francisco Pizzaros and the John Hawkwoods who
started out as common soldiers, but was skilled enough to rise up to the level of Adventurer/Mercenary Captain and then use that to gain their nobility.
It's not uniquely European, but it
is unique to strongly militaristic cultures with primogeniture succession, a military nobility and practically no way to
gain status through the path of an administrator, bureaucrat or diplomat. So in effect, it is uniquely European.