Yup! You can either connect to Twitch via irc/websocket yourself, or you can use one of the existing libraries that does it for you. Here are a few that come to mind:
- TwitchLib (shameless plug): https://github.com/TwitchLib/TwitchLib
- TwitchChatSharp (3v): https://github.com/3ventic/TwitchChatSharp
- NTwitch (Akitaux): https://github.com/Akitaux/NTwitch