Yes, its possible. My husband and I from the begging had solely D/s dynamic and even after He explained concept of BDSM to me - what due to intent (He said I should first learn to submit of my own free will), what due to r/l circumstances - it took about a year for us to progress to full "whips and chains" thing, (though He did use some bondage and clamps before that, there were no spankings or heavier physical stuff. It was more mind games like having me strip whenever He wanted, obeying Him and being focused on His pleasure).
I wouldn't say I submitted out of "love", I did it out of that inexplicable reason where I couldn't deny Him and simply walk away - He dominated me by sheer force of His personality. With His eyes (you would be surprised how powerful that raised eyebrow can be, lol), His words, His touch...so I guess I don't know even if my answer counts, because its not like He wasn't doing anything.
I suppose such relationship where sub does all the work out of servitude and "Dom" doesn't due anything is possible, but I don't imagine it being very satisfying to a sub. We do require some kind of response. And while each of us has their own limits and pain thresholds, we all require some level of it, even if its only "good girl" spanking.
Personally for me there is no going back, I even "love"/need things I have a love/hate relationship with.
On the other hand you shouldn't have to "beat" her to do the simplest thing, even today the look of disappointment in His eyes (and the desire to please Him) is the most powerful thing that ensures my submission.
edit ---ups, missed the fact that you are a girl, modify answer accordingly, lol.