Yes you can upload compiled sketches (.bin files) to the firmware tab in the GUI, and boot them.
And the corresponding Arduino .ino files are here
https://github.com/marchingband/wvr/tree/main/examplesI don't think any of those would interest you in terms of functionality, although they do demonstrate some techniques. The wvr_thames.ino file in particular does a bunch of cool things, such as a sustain pedal for example, but it's all specific to the Thames pedal from the kickstarter.
WVR was designed primarily as a no-code device, and the custom-firmware-via-Arduino side of it hasn't been taken up by anyone yet that I know of. I do have hopes that some day more coders will be attracted to WVR as a platform, and it's all set up and ready, if they do.