No, you cannot use regular guitar cable.
Guitar has MIDI pickup, but the MIDI pickup isn't MIDI at all. It's just called that way because it's a part of MIDI guitar system. The pickup is, basically, a crystal divided pickup. Imagine a guitar pickup that doesn't have one analog signal wire which contains all caught frequencies, but six wires, each containing frequencies resonated from a single guitar string.
Therefore, you'll have a cable with 6 wires minimum, going from a guitar to some external equipment. Only from that equipment, you'll have MIDI output.
I haven't yet seen a guitar that has true MIDI output.