So does glass almost, glass is not a liquid, there are more than 5 stated of matter, a lot more, but glass is still a type of solid. It has some characteristics that recemble the characteristics of a really slow moving liquid.

Well glaciers contain both solid and liquid parts. When you compress ice it turns to liquid. Water isn't really easy to compress, liquid water can be lower than 0c (freezing), which is called super cooled, and it turns to ice when it'd not compressed anymore. You can make super cooled water or even soda at home, and if you give the bottle a shake it will turn to ice in a couple of seconds. Also the ground under the glacier will be moved together with the ice and water, there is do much force there. When a part of a glacier breaks off it's called calving, like when a cow gives birth to a calf