No. If you look at the map you'll see that there's an equally sized coverage gap at each pole. I don't know if any reliable source has stated whether they will

No. If you look at the map you'll see that there's an equally sized coverage gap at each pole. I don't know if any reliable source has stated whether they will put any satellites in orbits that can cover the poles, but I imagine it's a pretty low priority commercially. There is already some polar coverage from the Iridium network, which uses orbits with higher inclination.