The short answer is yes, snow and ice can damage your gutters. When gutters become frozen, the weight of the ice can cause them to sag or even break. Additionally, the ice can prevent water from draining properly, which can lead to leaks and flooding. If you live in an area where snow and ice are common, it is important to take steps to prevent damage to your gutters. This may include installing heat tape or gutter covers, or simply regularly clearing the gutters of debris.