Possibly not, in the long term.
Sorry to put a downer on things, but that's the way it seems. A friend of mine is doing some research at the moment, and is looking for couples to contribute. The criteria: They must have been in a long distance relationship at uni, and they must still be together now (post-uni). Having emailed all her contacts and spread the word as far as possible (I've even tried recruiting on TSR), she has found a total of...
One couple.
It is possible - of course it is - but there are so many things standing in the way of it being a long-term success. Both parties will change over the course of their time at uni. They will both want different things when they graduate, and might want to travel or work abroad. They will meet so many new and interesting people at uni, who will change their attitudes even if they don't directly threaten the relationship. And then there are issues of loneliness, temptation, jealousy, etc, etc.
But I'm not saying all this to put you off. Don't worry about whether it's worked for everyone else - decide whether you want to try it, and see how it goes. You could be one of the couples it works for.
Besides, if everyone enters into an LDR thinking it won't work, it's not surprising that so few of them do. You have to believe in your relationship and not give up at the first sign of trouble.