Ex best friend hates me?

So at the beginning of last month.. Me (hs senior) and this girl (hs sophomore) best bestest of riends of 9 months got into a huge fight over Facebook basically where her friend picked a fight with me over a post and I fought back and I thought she was defending him (which she wasent) so I flipped a ****** on her too. Anyways I apologized to her in all ways possible and told her in deeply sorry and that I was wrong And promised I would always be there for her, she also got a boyfriend shortly afterwards (I admit I developed feelings for her towards the end of the relationship, so I'm a bit jealous) so now were not talking to each other and it seems like she's moved on, I have moved on and have rarely thought about her, but last night I had a dream about her and I realize I really miss her so much. I can live without knowing her but I would much rather have her back. So in a few months can I write on her Facebook wall with something like "hey long time no speak, what's up?" or will she likely ignore this. I mean doesn't time heal all