Just checked with Google Gemini on how one might be able to do the above. It pointed to Minix3/seL4/Genode and vps providers who either support custom ISOs or run it within an emulator like QEMU.

You can also look at using Unikernels for this purpose. Here is an article Unleashing Extreme Speed and Security: Deploying Unikernels with NanoVMs on VPS to Eliminate the Linux OS - https://xylentis.com/blog/unleashing-extreme-speed-and-secur...

Minix can run Ngnix.