No, Buzzsprout does not support live streaming. Instead, we are designed to upload prerecorded episodes. Your episodes will then be distributed to your listeners through all the major podcasting directories!
That doesn't mean you cannot use live streaming with your podcast! You can stream your podcast recording using a variety of programs like Zoom or Streamyard. Then you can upload the audio from your recording to Buzzsprout to get your podcast online!
Check out this video for more about how to best use live streaming for your podcast!