Yes. You can either disable chat in the editor before a show starts (under the "Options" tab)
Or click the "Mute Chat" button while in your live show's "chat settings" to temporarily mute the chat component for everyone viewing the page.
Yes! You can turn chat off for your live stream. If you don’t want messages during the show, just switch chat off in your stream settings before you go live. You can always turn it back on later if you change your mind.