一 + [counter] + として + [verb negative]
The pattern として~ない is used to express a complete negation – that not even one of something exists, happened, or applies. It is a strong, emphatic way of saying "not a single…" or "not even one…"
This structure pairs a counter or number (typically ひとり一人, ひとつ一つ, いちど一度, いちかい一回, いちまい一枚, etc.) with として followed by a negative verb form. The counter always uses the number one (一), since the emphasis is on the fact that not even a single instance exists.
Both 一つとして~ない and 一つも~ない mean "not even one," but the として version carries a stronger, more emphatic, and more formal nuance. In casual conversation, ひとつ一つも〜~ない is more natural.