Would it even be possible to get back with my ex-girlfriend?

So me and my girlfriend broke up bout 2 weeks ago. Before we even started dating she warned me that "she was a terrible person and that she was only going to break my heart", I reassured her to not speak about herself like that, and that she's a good person all this and that. So first week after we met yeah we fooled around 2nd week we had sex then 2 weeks later we were dating, think that was a bit to fast for just knowing a person for just a month? So as we were dating almost every month she would bring up that she was just going to break my heart all this and that again. I kept reassuring her that no she wasn't, and that we have to take it day by day that I really liked her and relationships are a journey between 2 people. then a little after month and a half we were talkin and she was saying how we have different goals in life and we have different values... I'm not as religious as she is and she's really into her faith its what is important to her, I felt that she was thinkin way to far ahead like marriage or somethin... so come christmas time she starts to distance herself, and I start to get worried and kinda feel that we're gunna break up. I came to realize that the 2 months we were dating that i was smothering her way to much, I kept wanting to be around her and I wasnt really being my own man, I was always wanting her around. Also I feel like I was throwing the "I love you" thing way to much. So I started giving her space and really calmed down with the "I love you" and she seemed happier, I seemed happier everything was good. then one day she invites herself over and we were hanging out in my room, and my roommates call me to finish dishes so I go. I forgot to close what I had open in my laptop, I come back in the room her eyes are watery and she has her hand over her mouth. She found porn and it wasnt the first time, the last time she was upset and I really stopped watching it and that day temptation got the best of me. So then she is giving the silent treatment and wont talk to me I'm apologizing and shes crying and shes a terrible person all over again and that shes just dragging me along. So we're laying there watching a movie and she gets a txt from her best friend saying she should just end it with me if she feels shes dragging me. I saw it and was devastated I left the room and came back and just layed there didnt speak a word to her or anything, I though she was going to end it there... after couple minutes though she grabbed my arm and put it back around her and turned to me and told me she loved me, i responded back an said I loved her 2. By the end of the night we seemed better she was back to calling me babe or w/e and she told me she loved me before she left before I could even tell her. Weekend came and I got a little drunk and her best friend is seeing my best friend right now and they were telling me that previous week she didnt wanna see me before she took off from school to go home.. I figured she's tired from being at school all day drama started she calls me an i'm reassuring her i'm not mad, cuz I really wasnt, what happens in the past I keep it there I dont bring the drama along. We celebrated our 3mnth on monday and we seemed good, but she brought up how i was mad when her friend told me she didnt want to see me and i reassured her that it doesnt matter cuz I care about her... then that wednesday she seemed so blunt with me called her afterwork and it was nothing but yes, no, idk answers when I said I was heading to bed she just said striaght "goodnight!" and when I said "i love you" just so bluntly "love you 2" n hung up... I figured something wasnt right. So following day txt her to have a good day at work... all day no txt, nothing from her. then I call her after class n ask if she wants to get food so I get food head to her house n everything seemed fine... then we watched the proposal and at the part where the girl breaks the deal with the guy cuz shes "dragging him along" I just see her look straight at the ground all sad and i'm like "crap here we go" her head went from resting on my chest to my lap and I told her to look at me an she wouldnt, so i got out from under her looked at her and she just started bawling and saying "she couldnt do this anymore" and we ended it after that I left devastated... I really wanna try and establish a friendship with her and probably try again, but the feelings I have for her right now dont seem to be dying down. When I look back on it I feel we really jumped in 2 quickly, and sadly that our relationship was based to much on sex (even when she told me from the start that we should behave), I didnt really respect that part of her I feel. I could really use some help here folks, think its even possible to go back to a relationship with this girl?