Safari is the only browser that implements HLS except recent Android. Chrome does support H.264 in HTML5.
In any case, live streaming in Chrome is possible with WebM, or even WebRTC. Flash is not ideal either, but at least it has consistent support on the desktop.
And no you cannot stream with webrtc without building a complicated back end webrtc MCU implementation which requires significant engineering and is not at all supported by the creators of webrtc who are focused on peer to peer inside browsers.