Is it possible to fall in love with someone and not be sexually attracted to them?

i love my best friend. we're both females but lately shes all i think about. i miss her when i'm not around her, and all i want to do is cuddle her and kiss her...... im too scared to try and kiss her but we fall asleep in each others arms all the time! but i would never go further than that... i m not into lesbian activity. is it possible that im in love with her??