I wouldn't quite go that far. Linux runs on nommu systems. With some psram you should be able to get a version to run on at least the rp2350 using the riscv cores with relatively minimal fuss.

Is that a good idea? Well, not really.

You can run Linux on this

https://dmitry.gr/images/uARM_big.png

Bare metal or bare bootloader only right?

Or stuff like FreeRTOS, NuttX, Zephyr, and co.