Maybe- legally they can’t deny due to disability. I’ve heard of police officers who stutter before. I was more thinking the angle of just reducing tension during the interview. A big thing with stuttering is it makes other people feel really uncomfortable and they don’t know how to react when they see someone stutter. We in turn see them look uncomfortable and it spirals from there lol so if you can reduce any tension before it could help all parities included. Good luck, you deserve your dream job