I personally wouldn't. If you know the two of you are going to be moving further a part it just doesn't make a whole lot of sense to say, "It was great when we saw each other a lot, but now that we see each other less, let's start dating." Just sounds weird, you know? I do think long distance relationships can work, but only if both people are dedicated, and you can see a scenario where if things progress, one of you can move where the other is, or you both can move somewhere together. Moving apart right off the bat though just seems to kind of defeat that purpose.