A character who has the feat Breadth of Experience can make profession checks untrained. A Pathfinder Society character can attempt a trained profession check to earn money as a day job.
So, is it acceptable to do a day job roll with some random profession, using the Breadth of Experience feat?
Personally, I'd say no since the day job calls for a "trained check" (and I recall neither craft nor perform can be used untrained for the day job) and the feat allows making an "untrained check". But I want to be sure, so I'm asking!