No. Nix, NixOS, and Flox are related, but each does different things.
Nix is a package manager, build system, and declarative model for defining software by declaring its inputs and reproducing the resultant outputs and dependency graph.
NixOS is a Linux distribution, comparable in scope to Debian, Ubuntu, Fedora, or Red Hat Enterprise Linux. Unlike those distributions, NixOS applies the declarative Nix model to the operating system as a whole. Users declaratively define their packages, services, users, and system configuration. NixOS takes those definitions and builds a complete, versioned system configuration.
Flox builds on Nix so teams can define, version, and reproduce the same environment across the SDLC, promoting known-good environment versions without reconstructing the software stack each time. Flox environments can run as-is on NixOS as well as any other supported systems.