Yes, I literally cut a Raspberry Pi Pico on a bandsaw. And… it works! It still mounts and it runs code as expected.
I noticed that the back portion of the Pico seemed to have no components, and just traces running to the pins, so it was worth a $4 test.
This makes the Pico a bit closer in size to an Arduino Pro Micro or a Teensy LC.
So why would you want this? You can get a Adafruit KB2040 – RP2040 Kee Boar Driver or a SparkFun Pro Micro – RP2040 but those both use USB-C instead of Micro USB and for specific cases, that may not be ideal.
(I originally posted most of this on Mastodon, but figured I should drop it here as well.)