No. A loaded question demands a yes or no answer when neither is appropriate due to a presupposition contained in the question. The classic example, of course, is “Have you stopped beating your wife?” The presupposition here is that you do beat your wife, and both a “yes” and a “no” would confirm that presupposition (since the question is whether or not you have stopped beating your wife, not whether or not you have ever beaten her in the first place). Begging the question, meanwhile, requires a complete argument (rather than just a question), and one of the premises of the argument must assume the truth of the conclusion somehow (often by being a restatement of it). Good examples are harder to find here, but the classic one comes from Molière’s play, The Imaginary Invalid. “How does opium cause sleep? Because of its soporific power!” A “soporific power” is just the ability to cause sleep, so the doctor character is basically saying “it is able to cause sleep because it has the ability to cause sleep.”