Answer:
False.
Step-by-step explanation:
#1, If you are not talking about the Colonial Age before, during and following the American Revolutionary War, America technically doesn't share a border with any French territory. They also do not share a border with mainland France (as it is located in Europe, not in the Americas.)
#2, If you include the colonies of France inside the Americas during the Colonial Era, in which France relinquished to the Americans in a series of treaties that include the Louisiana Purchase, then there technically was a border. The border was eliminated through the Louisiana Purchase, which doubled the US territory, and gave about 1/3 - 1/2 of the US's current mainland territory, then yes, they don't share a border anymore.
The reason why "the possibility of war with France" is not neutralized, is because, frankly you don't have to be bordered with each other to be at war with each other.
For example, in World War II, the United States and Germany are not border states (as they are separated by the Atlantic Ocean, and then some), yet they were at war with each other. Borders, while they can be minor reasons, are not what starts wars at all times. Generally, it is ideology, and to only pinpoint borders as a reason for the possibility for war is a false narrative.
There is a possibility of war with France, and there will always be a possibility for a war with them, even today, though it's chances are diminished with our long history of positive relations and our treaty.
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