No. The Classified hub can only be used with the Classified thru-axle. Using any other thru-axle will impair functionality and voids warranty.
The reason is two-fold. First the Classified thru-axle contains the battery and electronics to power the Classified hub. Without it, the hub is not able to shift. Secondly, the Classified Thru-Axle secures the Classified hub's axle to the frame to enable it to support the torque load, which is required for proper functionality and is fundamentally different to regular hubs.