Hydrogen bonds are weak bonds that form between a hydrogen atom and a strongly electronegative atom, such as oxygen or nitrogen. In water, hydrogen bonds form between the hydrogen atom of one water molecule and the oxygen atom of another water molecule. These hydrogen bonds are what give water its surface tension and allow it to form droplets.
When you touch ice, the water molecules on the ice surface form hydrogen bonds with the skin cells on your fingers. These hydrogen bonds create a force of attraction between the ice and your fingers, which is why the ice sticks to your skin.
The strength of the adhesion between ice and your fingers depends on several factors, including the temperature of the ice, the humidity of the air, and the amount of moisture on your skin. If the ice is very cold, the hydrogen bonds between the water molecules will be stronger and the ice will stick to your fingers more firmly. If the air is humid, there will be more water vapor in the air and this can interfere with the formation of hydrogen bonds between the ice and your fingers, making the ice less likely to stick. If your skin is dry, there will be fewer water molecules on your skin to form hydrogen bonds with the ice, making the ice less likely to stick.
Adhesion is a common phenomenon that is responsible for many everyday interactions. For example, adhesion is what allows you to stick a stamp to an envelope, and it is also what causes paint to stick to a wall.