Yes! LiveTrax is an audio workstation that runs on your desktop computer (MacOS, Windows, or linux). It can use 'any' sound I/O device.
Many consoles have built-in USB audio interfaces that can send all channels to LiveTrax, and receive them back. If your mixer is recognized as an audio device on your computer, then LiveTrax can directly utilize your mixer for audio I/O. Consoles that support Dante can also be used with LiveTrax on Windows and macOS using Dante Virtual Sound Card.
If your console sends MIDI program-changes when recalling a scene, then you can probably make section feature work by manually connecting the device's midi port to LiveTrax's "Scene in" port. And similarly, LiveTrax can send back to the device using the "Scene Out" port, if the device responds to that.
If you are using an Allen&Heath, DiGiCo (Quantum and SD), or SSL Live console, then it will be auto-detected to make the connections for Scenes and track-naming. Track naming only works with supported consoles.