As they say on the site, "Thousands of Americans and people from the around the world are asking the Obamas to lead by example on climate change, health policy, economic self-reliance, food security, and energy independence by replanting an organic food garden at the White House with the produce going to the First Kitchen and to local food pantries."
The "original" Victory Garden movement made a huge impact. The stats they give are amazing: "Victory Gardens (behind homes, schools, in vacant urban lots, etc.) produced 40% of the nation’s produce at their peak, helped conserve food and natural resources at a time of crisis, resulted in the highest consumption rates of fruits and vegetables our nation has seen, and helped keep millions of Americans physically fit and active. "
And, despite objections from the USDA, Eleanor Roosevelt planted a Victory Garden on the White House lawn!