No, according to this piece. A statement issued by the Selective Service System, which would oversee a draft, says law would have to be changed to induct women. Defense Secretary Leon Panetta isn't so sure:
In announcing women's acceptance into combat units, defense secretary Leon Panetta was less clear. "I don’t know who the hell controls Selective Service," but it's up to them to make the decision, he said. With new combat jobs available to women, Panetta must inform Congress about the legal ramifications of the move as it relates to Selective Service, Politico notes. Any change to the law would be in the hands of Congress. "Until Congress and the president make a change, we will continue doing what we’re doing," says a Selective Service spokesman, per theWashington Post. But the issue could hit the courts in the next few years.