No! I second both the above answers. I'll also add that there is no "mercury additive" in vaccines. Thimerosal, which contains mercury, is a preservative used in very tiny trace amounts in some vaccines, but not in any of the standard childhood vaccines. Dozens of studies have been completed, all showing that thimerosal in vaccines is completely safe. Aluminum is used, also in trace amounts, as an adjuvant in some vaccines - which makes them more effective with less of the immunogenic agent. In other words, we can put less of the killed virus (for viral vaccines) in the shot and still generate a vigorous immune response.
You get way more exposure to aluminum just by using aluminum foil to wrap your food. And no, that doesn't cause Alzheimer's either.
Vaccines are probably the single greatest boon to human health since indoor plumbing. It's easy to find quacks on the Internet who claim that vaccines are harmful, but they are grievously mistaken. (See my blog for more on flu vaccines, http://genome.fieldofscience.com.)