He is likely referring to FFI. This is a genetic disorder. You cannot "catch" it. Your anxiety won't cause this.
If you are the kind of person who "can't sleep because you stress about not sleeping", then you can ignore this, your sleep issues are due to anxiety.
And the good news for people who have sleep issues due to anxiety: At some point, your body will win and force you to sleep.
This is separate from the fact that ICUs are unforgivably noisy and chaotic. We will look at this part of medical history with horror. Yes, I do understand that making things appreciably better for patients in ICU is a massive and complex undertaking. I am not at all blaming the staff and docs.
In the end my sleep issues were caused by anxiety disorder. Once I got on medication for that, I didn't have any further issues. Marijuana, sleeping pills, whatever, they're all just masking the symptoms of some other problem.