Probably not. Many parents are so worried about Lyme disease that they want their kids to take antibiotics just in case the tick was infected. But the chances of this are slim. What's more, experts aren't sure whether antibiotics will work against Lyme disease during the first few weeks after a bite, before symptoms arise.
The overuse of antibiotics poses its own dangers. Germs can become resistant to the drugs, which has become an increasing problem. So most experts recommend a wait-and-see (but watch for symptoms!) approach. Ask your doctor what she thinks.