Really have no idea but I just think polarity doesn't really have much to do with this? I thought polarity is mainly to describe solubility. But I am not 100% sure. Essentially polarity is determined by hydrogen bonding though...
Hydrogen bonding is determined by polarity, not the other way around.
Polarity does indeed have a lot to do with solubility, but it also has a lot to do with intermolecular bonding and therefore melting and boiling points. Non-polar molecules can form only dispersion forces between molecules, so the molecules are relatively easy to separate i.e. low boiling point. Polar molecules, depending on how polar, can form dipole-dipole bonds, which are stronger than regular dispersion forces, and if the molecules are polar enough, (NOF) then they can form hydrogen bonds, a particularly strong version of dipole-dipole attractions... and thus the more polar, the stronger the intermolecular forces, the higher the boiling point...