I'm not sure how to think about pressure at that ice-glass interface. Not saying "no", but I'm *guessing* not. I'm an organic chemist; maybe a physical chemist or a physicist could chime in.

Surface *energy* effects at interfaces are very important for adhesion. You can calculate a work of adhesion by summing up the relative surface energies of all the solid/solid and solid/gas interfaces. Both glass and metals tend to have rather high surface energy, making them easy to stick to.