Of course it could, any relationship could be abusive and LawLight is one that could easily turn out that way. L and Light are very turbulent and argumentative and it could easily escalate to a physical fight. As it has several times in the series. The above senararios are the best situation in my opinion they could easily turn out badly. As much as it pains me to say that
hiii heartif you don't like lawlight dont even look at me i want you DEAD.
look at them so tootsit like so they can live the cute