[llamataboot]

Sure - even the built in midi effects are enough to do a lot of generative stuff in Ableton, and when you get into Max the sky is pretty much the limit.

But, you could pretty much feed any source of generated midi into a DAW in real time in multiple channels and then have effects on different channels, etc.

[fb03]

True! Also, if you are not able to afford Max/MSP, you can do basically the same stuff (although with a clunkier UI) with Puredata, which is a live coding 'graphical language' setup just like Max . In fact it is (or was idk) developed by the same author, Miller Puckette.

On Windows, you can use a package like loopMidi to create a virtual midi port which you can use to output the live generated midi data to any daw.