It specifically says: _If you’re instructed to choose a feat from a specific category, such as the Origin category, that category must appear under the feat’s name. If you’re instructed to choose a feat and no category is specified, you can choose from any category._ So as long as you meet the requirements, you can take an Origin Feat or a Fighting Style. However all Fighting Style Feats have a prerequisite of "Fighting Style Feature" which is a class benefit.
It specifically says:
_If you’re instructed to choose a feat from a specific category, such as the Origin category, that category must appear under the feat’s name. If you’re instructed to choose a feat and no category is specified, you can choose from any category._
So as long as you meet the requirements, you can take an Origin Feat or a Fighting Style.
However all Fighting Style Feats have a prerequisite of "Fighting Style Feature" which is a class benefit.