Can I make my character a trap build when creating them in Pillars of Eternity?

Can I make my character a trap build when creating them in Pillars of Eternity? - Silhouette of Men in Construction Site during Sunset

As it is not possible to upgrade the attributes in game I am wondering:

Is it possible to build trap character, as in: unable to proceed during the later game, when downgrading one stat in order to max out some other?






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