If you have no experience in Occ Health, I suggest that you seek part time work (and if you like it--it'll grow to full time) with an Occ-Health Agency, they'll start you out easily (hopefully).
Nurse for a chemical factory is no easy task. Being a nurse for a toy company may be much easier, lots of splinters and a few chopped off fingers. Every place is different and every place has a skill set that is needed. It's very important to start at a level that requires a low skill set.
My past: Job #1: Ball Bearing factory (small) part time, and toy factory, part time, and welding company part time. Skill set, be there, remove splinters and counsel very surprised mother to be, along with giving flu shots and patching boo boos.
Job #2: High Tech, same as above, no OSHA log needed. Extensive knowledge of allergic contact and allergic dermatitis though--but I learned. Lot's of ergo consults--what fun. I read a book or three... "let's move this monitor so your neck will be in a neutral position." (It worked!)
Job #3: Paper mill: 6 people overcome with toxic gas on my first day; OSHA knowledge imperative, advanced accident investigation skills, crushed forearm, severed finger, tons of strains/sprains and fakers. Great job but advanced skill set needed. I learned a lot there before it went bankrupt.
Current job: Ginormous warehouse facility at a major corporation. No Osha log management, but intense OSHA knowledge required for recordable override cases. Some ergo, lots of paperwork, occasional chest pain cases.... off you go to 911. A great deal of Workers' Comp management which I found rather rewarding and a great deal of writing for OSHA recordable override cases for those whose stories did not stand up to scrutiny (as when four other employees signed statements totally contradictory to what the employee said happened).
So the range can be from babysitter and boo boo patcher, to know OSHA better than OSHA inspectors or no OSHA requirements, to best be trained beforehand as an EMT for trauma cases. Occ-Med is all over the place. Start small and work up---I love it.
Try to find a start job where you are 2nd in command, then you have a mentor/teacher (and omg what do I do now....). If hearing tests are required ask to be sent to COHC classes. If fit testing is required ask to be trained in fit testing and spirometry. Become Red Cross First Aid and AED instructor as well as Blood Born Pathogens instructor--the latter you can even "test out" for if you learn the subject.
If you can do hearing tests, fit tests, drug testing, post-hire physicals, teach BBP, teach AED/First Aid...then you start to "save" them money--reasons to hire and keep you.
Occ Health is not easy though... nor really easy to get into, but persevere and good luck.