Should I get a smoker?

Online Answer
If you only have a gas grill, then you definitely need a smoker. The mechanics of gas grills do not make for a good smoker. They are designed to pump heat through the chambers, reaching high temperatures.
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Once assembled, it's time for a burn-in. In many circles, "the burn-in" is referred to as seasoning. The main purpose of a burn-in is to remove any contaminants left over from the manufacturing process. At its core, the burn-in is simply running the smoker at an elevated temperature for two to three hours without food.
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So to answer your question. Yes you can over cook a pork shoulder or butt, brisket, roast etc. It is possible to run the gamut and over cook or over smoke food leaving a perfectly good piece of meat totally dried out or burned.