There USB over IP. I think Linux supports it. It could be possible to have Pico implementation, use WiFi like this, and connect to computer or another dongle.
Author here: I have wanted to make a wireless USB mouse and keyboard switch out of RPI Pico Ws for a long time. I would go a layer deeper than USB/IP, because I want to cache the USB handshake to keep the connection enumerated on multiple systems without dropping.