If you have been diagnosed with a learning disability like ASD or ADHD in which auditory stimulants greatly hinder your concentration them you can potentially apply to NESA for disability provisions such as headphones. As an autistic person myself I can say that it requires a professional opinion (phycologist, therapist) to vouch for you through forms to say that you DO have this disability and that this provision CAN help you in an exam.
It is far too late to try and seek these provisions during trials but you can try and apply now, get your documents together to apply for these provisions during the actual HSC. From what I've been told they're less lenient in the actual exams and even now so in trials I don't think my provisions have been fulfilled properly, for other disabled students NESA hasn't even yet granted these provisions even though some of these people wrote their requests much earlier than I so personally I'd try to make your request hella early.
In the event that they do let you have headphones I highly doubt you could listen to music through them and based on your situation I would suggest requesting separate supervision for exams.
