If you are having networking related issues with Xbox Live, please first verify if there are no issues reported with Xbox Live services: https://support.xbox.com/en-US/xbox-live-status.
There is an option to play Halo: The Master Chief Collection on LAN. In order to do this, an internet connection is required.
If are still unable to connect, you can troubleshoot connecting to Xbox Live in this article.
If you are having general network related issues these 3 steps are the simplest approach and usually resolve most problems:
- Unplug the power cable to your modem for 30 seconds and plug it back in
- Unplug the power cable to your router for 30 seconds and plug it back in
- Hold the power button down on your Xbox One console for 10 seconds.
If these do not resolve your issue, please submit a ticket.