Yes they can
Just to give you a different view:
In 1990 I was in a 4 month training school for the Navy. I met a girl in my class & proposed 3 months later. The next month, I got sent to Pensacola, Florida & She got sent to Norfolk, Virginia. (over 1,000 miles). We got married 9 months later & went back to our separate bases. The next month, she calls me & told me she was pregnant. She then transferred to North Carolina & I stayed in Florida. A month after our son was born, I got stationed with her in North Carolina & we've been together ever since.
That was a total of 18 months apart, during which we got married & had a child - not something you'd expect to work out considering we were only together for 4 months before getting stationed apart from each other.
Last weekend was our 17th anniversary. I don't feel that long distance relationships work forever, but if you're determined, it will work. It definitely will not be EASY, but it can work. Just remember that you can't cheat on her & if she does cheat on you, then you were the better person & she wasn't worth it in the first place.
250 miles is not that far - only 4 hours driving (or 2.5 if you have a new Camaro)
Hope this helps....