Is it possible to use the digital mux pins to make USB work on the
module? If not, is there another module with USB functionality?
The CYBLE-416045-02 module does not support USB functionality.
If you want to use a device with both USB and BLE functionality you can go for the following PSoC 63 devices (one within the red box):
For more details please refer to the PSoC 63 BLE datasheet: https://www.cypress.com/file/385921/download