Yes, via either of the following 2 methods:
■ MASTER REC on the OPUS-QUAD
Record your performance on a USB flash drive or hard disk drive (HDD) connected to the USB port on the OPUS-QUAD. Touch [REC] on the [SHORTCUT] screen to start or stop recording.
See [Recording] in the Instruction Manual.
You can read the Instruction Manual [here].
■recording function of your DJ application
You can use the recording function of the DJ application connected to the OPUS-QUAD.
【rekordbox for Mac/Windows】
Click the [REC] button at the top left of the rekordbox screen to display the recording panel in the middle of the screen.
Click the [REC] button in the panel to start/stop recording.
For details, see [Recording] in [Performance mode] or [Export mode] in the rekordbox Instruction Manual.
See the rekordbox Instruction Manual [rekordbox.com]