Polyphonic with CV/Trig?

When using V/oct and Trig, is there a way to have the release of notes ring out so that they overlap with each other? I was hoping to add polyphony without needing MIDI by having a series of notes triggered back to back and having them all playing at the same time. It's interesting that it does this behavior if playing with a MIDI keyboard but I don't think it can be replicated with CV.