You can definitely become a Youtuber with a stutter. If you're doing very audio/narration heavy videos, it's fairly easy to edit around your stutter, if that's what you want to do. I've hosted a podcast for years and tend to take that approach when I edit. If you want to be on camera, it does get harder to edit around your stutter. But there's not wrong with just being your authentic self and putting that out there, stutter and all.