Is it even possible to start a relationship from friendship?

Sounds to me like she just got out of a relationship and she doesn't want to make you her rebound..she just got out of a relationship and doesn't feel like shes ready to start "dating" again this quickly..but she likes you and she wants to get to know you better..she probably feels that using the label "friends" right now is alot less pressure and would make her feel more comfortable until shes had some time and feels ready to start dating officially..breakups make you think about all the things that caused the relationship to go wrong..maybe we took things to fast etc..she wants to take things slow, she just brokeup with the guy two weeks ago..if anything shes trying to be fair to you and not agree to date you until shes able to be emotionally all in..plently of relationships grow out of friendships..some of the best ones actually because you really get to know each other as you really are..none of that showing them your best self that occurs in dating..If your ok with taking things slow and just hanging out as friends first and see where it goes from there then great..tell her that your ok with that and your willing to get to know her better through friendship with the potential of it becoming something more someday but its her call. She sounds like a genuinely good girl. If the chemistrys not there at the very least you gain a friend.