You are right, it is possible.
It just seems like an odd story to invent; if she didn't want to date the MC wouldn't it be easier to just break up with him? Right up until she decided to leave, there was no inkling given in the story she was anything other than very, very happy. Then, out of the blue and with no real reason given, she breaks up with him and returns home. Then: 1) returns back to the same town for work; 2) tells a pretty detailed backstory about how controlling and violent her father is; and 3) tries to express remorse over the mistake in how she handled everything.
I mean, anything is really possible... but to me it's stretching the limits of a story I'd be willing to buy. If she really wanted to leave him and go back home, why would she have accepted the business trip to the MCs town? Did she think she'd be able to avoid him? The company she worked for would have been able to send another person in her place if she didn't want to go.