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Not necessarily. Attorneys do have to "argue" their case, but most attorney work is preparation, gathering evidence, and talking to clients. Many attorneys don't even work in litigation (where you argue your case and try to win). Even when you do "argue," you have to be very open-minded in your research before you ever get to argue in order to be able to look at all sides of the case, so you can properly defend against the arguments the other side will raise.
Enjoying arguing will not make you a good attorney, but enjoying strategizing, looking at all sides, and sticking up for your side will. If you're really interested in becoming an attorney, I would recommend finding a staff job in a law office to get your feet wet and see if you would enjoy it as a career.