I would say not because, as far as I know, the Law never gives us civil sanctions for coveting. It does, however, give us civil sanctions for stealing. You are right that coveting is certainly involved in the act of theft, but the fact remains that when someone is punished for theft, they are punished for an outward act, not an internal disposition.Does stealing another man’s property (Popeyes Spicy Chicken Sandwich) involve coveting? If so could a magistrate not charge a convicted thief also of coveting because his action shows his heart (and belly) guilty of that command as well?
This, by the way, is why the very idea of "hate crimes" is so wicked. Civilly, I ought to be able to hate whomever I wish as harshly as I wish for as long as I wish without fear of civil punishment, as long as I do not act on such feelings. I will certainly to to hell for it, but the civil magistrate does not have the wherewithal to accurately determine my guilt, and my hating someone in my heart has no effect on the prosperity of a society (again, as long as I do not act on my hatred). That is not to say that hatred is good; of course it isn't. However, it does show the wisdom of God, since he knew that if some nation would ever make hate a crime (and we know no country would ever so insane as to do that ), then there would be no end to the tyranny they would inflict upon their citizenry, defining as "hate" whatever best suits their wicked purposes.