That's what a MIDI cable is, just a different connector. You can build MIDI cables with bulk microphone cable. I got some parts to make midi to XLR connectors for running MIDI through a snake, need to get around to trying it.
Watch your length though, after a certain amount of cable length the data can start getting weird, noise and cable capacitance adding up. Digital standards specify maximum length cables that can be reliable used, I believe MIDI is 50', USB is 15', etc. Balanced line standards like CAT5 can go much longer (300').