Is it possible to get hired without post-doctorate experience in the chemical/pharmaceutical industry?
Yes, it is definitely possible, as I have students who did it. But it really depends on the type of position sought: position advertisements usually list a “level of experience required”, so be sure to check it before applying, and possible taylor your application/interview in response to that.



PS: Regarding “without using inter-personal connections”, I'm not sure how to interpret that. Surely during your PhD, and your job search, you have met (will meet) people at various places. Why would you refuse to use these people to help your application, or your inside knowledge of position openings in a given company?