Search Results: becoming more than friends

Basically, there's this girl in my school I like and I asked one of her friends, who is one of my close friends, if he thought I had a shot with her. He replied that she was obsessed with someone else. The girl had seemed interested in me since we had started talking about a month ago. I talked to a different friend about how I should go about this, and he suggested talking to her about it. I'm friendzoned obviously, but I know that I usually start to develop feelings for a friend if I know them well. Do you think the same is possible for her?

Well, here's the conversation. Not looking for criticism, because yes, I realize that I made a foolish decision.
Me: "Hey"
Her: "Hi"
Me: "Could we talk?"
Her: "Sure"
Me: "I don't really know if you knew, but I was interested in you, and I asked someone if you were interested in someone and they said you liked someone else. I'm not trying to be rude or anything, but I would suggest not leading someone on, because I know that most people would prefer to know whether or not you were interested in someone else. I get that you were being polite, but just take that as a suggestion."
Her: "Yes of course I am so sorry I didn't know"
Me: "No it's cool" "I know the feeling in a way"
Her: "Either way I would still like to get to know you better if thats okay"
Me: "Sure"
(Later) Me: "Despite the conversation earlier, would you still be open to facetiming?"
Her: "Yes in hope of becoming better friends"
Me: "Yes, that's what I was suggesting"
And then we talking casually from there on but she suggested Facetiming at a certain time. I feel like her response to me asking her to Facetime was a dead giveaway that she wants nothing more than friendship, but I would like to know if you guys think that there is a chance that she would start to like me once we became closer friends and she knew me better.