If you aren't desperate like you say you are, if you don't need him in your life, then why are you asking us if there is a possibility for a second chance? Why do you want to be back with him so badly, especially if you don't know who he has become? Because you are in love with what you knew about him before? In a purely, rational sense, if anything, at most you would want to just date him again to see if the new him and the new you would hit it off again. Not just want to jump back into a relationship. Let's take baby steps here.
So he dumped you. He didn't want to continue a relationship with you. Long distance was part of the problem, but his behavior went to barely acknowledging you. He wasn't communicating, which is necessary in relationships. You don't have that, things break down, you break up, like you did. If you are committed to something, you shouldn't be letting two months get in-between your relationship. But no matter the reasons, the bottom line will always remain "he dumped you."
So how does chasing him down and putting it on the line again, going to really change his mind? Are you hoping to pull at some kind of emotional heartstrings so that he lets you back in again? You can't change how he feels, you can't make him do something he doesn't want to do. If he wanted to be with you, he would be. He would be trying. Take the fact that he hasn't as indication that he doesn't want to be with you.
Your goal shouldn't be how to get him back. It should be focusing on yourself and what changes you can do to make you a better person, girlfriend, daughter, sister, etc. The two of you broke up, and if even one of you was the same person as before and you were together now, logically you guys would break up again. You both have to grow from your experience to move forward, and even if you do, there is no guarantee that he has come a long way and can meet you. The only control you have is over yourself and what direction you go in. Focus on that and everything will be okay, no matter who you end up with.
Waking up next to a beautiful girl,
Step outside and say hello to my beautiful world.