Hi Will. Not for me, and I did quite a bit of recruiting. Not a fan of CIEH, don't think it is that relevant to H&S. Equally, I wouldn't reject either.
Relevant additional memberships / qualifications for me would be around teaching, coaching, ergonomics, legal, marketing etc.
Getting to an interview is the first step, so selling what you do have, such as relevant qualifications as you mention, but also make most of any transferable skills at all - sales, training, communication, marketing, investigation, report writing (or just writing for some!), IT, stats, first aider, evidence that you are a personable individual able to get on with all types, any experience where you have been a coal-face worker (having had to wear PPE, use lifting equipment etc) all of these add up.
You must have had some kind of work beforehand. Draw out what you can from this.
There are different styles of CV to suit those with less experience or to limit focus on qualification, best to source good guidance on this. If applying for jobs in the public sector, the non-cv online applications are a right pain, but do offer opportunity to say how you fit the 'person spec' which may suit your situation better.
Good luck, good hunting.