Is there any way to stay friends?

I recently broke up with my girlfriend. We've been together almost a year but I moved away. We kept the relationship going long distance, but I didn't feel like it was working out PLUS I was beginning to have feelings for another person. I didn't want to cheat on my girlfriend so I broke up with her and she hasn't taken it well. I tried to explain that it really was nothing bad on her, I just thought that we should both move on to other people. The last message I received from her was that she didn't want me to talk to her. I don't suppose there's any way we could continue to be friends after this, is there?
Is there any way to stay friends?
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