Is there away to always appear away to someone on fb chat?

I had a friend who I used to talk to all the time on Fb chat. We had a fight about 2 months ago, and since then she has never been available to talk on chat. I only see the mobile icon by itself or with a time stamp, but I never see the green light next to her name anymore. I feel that she has blocked me from chat somehow but I don't know how. She uses fb messenger and has an iphone. She talks to a lot of other people so I know she has not actually been away for the past 2 months. Some how she has hacked mesenger so I never see here as available, I only see her mobile time stamp. Can someone tell me what she did?

Yeah, you can 'turn off chat' for that person. I believe that means that they can't message you. When you open a chat, in the top right there's a gear and click it, it is on the list.

If you open your Chat, then click the gear icon on top right, then click Advance Setting, you'll see various way to set who you want to chat with or not to chat with.
So, she obviously put you in the "don't chat with" list.

Go to your chat, then click advance setting, you can set it to whom you want to chat to or not.
She has added you in the "don't chat with" list.