Can you fall in love again with the same person?

Basically my ex of a few years. Ended stuff with me claiming he loves me but doesn't like me. And how he feels I have changed and not the same person he fell in love with. I am truly in love with this guy and we was talking about our future a week before we broke up. I am confused about how he can fall out of love so easy. I feel that cause we argued this is the prob He said he thinks our relationship is a dead end and a trouble relationship cause we are forever breaking up and making up.. Its always him that breaks up with me.. He asked to be friends but I said no as I thought it would be harder to move on but after a few days I have realized I truly love this guy.. And will fight for him but it seems pretty hopeless.. If I accept being friends with him do you think he will gradually fall back in love with me :S