Not from OpenAI, but you can add one. OpenAI's browser surface for Codex is Codex Cloud, inside ChatGPT on the web: tasks run in a container in OpenAI's cloud against GitHub repositories you connect, not on your computer. For Codex on your own computer, OpenAI's remote option is pairing the ChatGPT mobile app with the ChatGPT desktop app running on a Mac or Windows PC. There is no official page you open in a browser to drive the Codex CLI on your laptop or server.
Community projects and Termdeck fill that gap, and the difference that matters is how your browser reaches the machine. Open source Codex web UIs start a web server on your machine, so you reach them on localhost, on your LAN, or through a tunnel, VPN or reverse proxy that you set up and secure. Termdeck works the other way round: a small agent on your machine dials out to termdeck.io over HTTPS, so nothing listens for inbound connections and the browser reaches Codex from anywhere.
Remote control of Codex from a phone has its own write-up in Codex CLI remote control from your phone or browser. This page is about the web UI itself.