yes, but you're Tir Na n'Og - those VP sites will melt before the awesomeness of your bare-chested warriors!1
that completely sucks though, and likely means you can't have much hope. I once started one game in a province w/ only one land neighbour, a wasteland, which in turn only had one other neighbour, which itself was equidistant to 3 other capitals (it was a very crowded game). So I was pretty much guaranteed one wasteland, with a good chance at getting one plains
the best thing to do is only have a set number of approximately balanced allowed starts equaling the number of players; but that's a lot of manual work by the organizer.