Opponents never directly connect to your computer and can't impact your connection. If you experienced a freeze then something on your end likely caused it.
Read through the following. It is about disconnects but gives advice that might help with freezes.
https://support.chess.com/customer/en/portal/articles/1444918-my-internet-connection-is-fine---why-am-i-getting-disconnects-
Also, if you don't already have Flash disabled for the site, yoy should do that.
PLAYERS THAT CAN'T STAND TO LOSE SO THEY FREEZE THE GAME SAAD!!!!!!!!! [public accusations not allowed -- MOD] WEAK PLAYER CHEATER