My understanding of this, though I'm definitely not an expert is that they will in rare cases.

However, teams where one of the members has no dev. experience are very common. I'd guess that a non-technical person who can't find a developer that's excited enough about the idea to join as a cofounder is a bad signal.

If you're thinking you'd learn to do dev as you'd go, I doubt any accelerator would accept you until you have something written that actually works.