Oh boy! Yes, you are an empath ... no doubts!
It is a common empath trait that we get to process the emotions that the people around us in denial about. In your case that is your boyfriend's lack of passion and lack of motivation. In others, it could unexpressed anger or sadness or any one of the whole gamut of emotions. They stuff it ... we feel it!
While I am here, I am moved to share a saying I learned way back in my teens (many years ago) about how most women think that she can change her man, most men think his woman is going to stay the same. More often than not they are both wrong.
If I am stepping into territory with that where I wasn't invited, my apologies.