There've been a handful of discussions about this already... How peculiar!

In general, long-distance relationships aren't worth the time and energy. It requires too much commitment and patience for one to work out, way past the level of convenience most people are comfortable with. Even if you are willing to go through that, the other might not.

However, if you find that this girl is the destined love of your life and that she feels the same about you, it might work if you two decide to be absolutely commited to each other for a very long time. And even if you two actually do decide to do this, you are still gambling with the future. The odds are against you, and there are many more factors out of your control than usual that might sever the relationship. (Long distance requires much more trust in your partner than usual: she needs to fend for herself without your physical presence and things like that.)

But if you still believe the power of love will prevail against all, the relationship has a fighting chance! Communication is important in all relationships, but it is vital in this kind of relationship because it's probably the only factor in keeping it alive. If you two are faithful to each other, only time will tell if things work out for you two.