Yes a long distance relationship can work. I think it will be much better for you if he supports Greek Life though.
I dated a guy all through college who was 3.5 hours away or more for a very large portion of it...and he was long distance the entire time I was Greek. The reason I say it is better if he's supportive is this....my ex-b/f hated the fact that I was in a sorority and bought into all the stereotypes associated with it. There was NO reasoning with him...he wasn't willing to really get to know the girls to see what they were like. He gave me absolute hell about going to crush parties, socials, etc. He wouldn't even come down to go to my formal with me

It made it hard for me at times to really enjoy my sorority experience. Long distance definitely compounded things but really I think he would have given me a hard time either way.
On a brighter note I'm currently dating someone who's an undergrad and a member of a fraternity...and we are long distance...9 hours apart. We've been dating around a year and his being active in his fraternity has not really caused any problems. Basically, I understand the time commitment he has to his brothers and we understand there is also a necessary time commitment in order to make this relationship work. I have to give props to him for being able to balance it all.
The key to making it work (on both ends) is to consider the other person's feelings....don't blow him off if you've already made a commitment to him FIRST (it will be very easy to do that) and understand that he may feel a little jealous sometimes when you're out doing all of these wonderful things that he can't be a part of. It's not that he doesn't want you to have fun...but I'm sure he will be a little sad that he can't always be a part of what's going on. (Not that I'm speaking from experience or anything

) Anyway, my b/f and I find time to talk just about every night, we talk on IM, and we make plans to see each other and do our very best to stick to those plans. It can work it just takes time and an honest commitment to the relationship. Good luck