Can I connect to a DAW or hardware synthesizer?

Yes.
For DAW software, by connecting the unit to a PC/Mac with a USB cable, you can perform synchronized performances using a MIDI timing clock, or play up to 8 tracks of software instruments using patterns created on Chordcat.
For hardware synthesizers, by connecting them using a MIDI cable, you can perform synchronized performances using a MIDI timing clock or play an external hardware synthesizer using patterns created on Chordcat.