No. The US says Syrian fighters are coming over the border to fight in Iraq, so the US has said that it might go into Syria to try to stop this from happening.
http://news.yahoo.com/s/ap/20051019/ap_ ... pe/us_iraq
[quote:d6ed1]Pushed by senators from both parties to define the limits of U.S. involvement in Iraq and the Middle East, Rice also declined to rule out the use of military force in
Iran or
Syria, although she said the administration prefers diplomacy.[/quote:d6ed1]
http://www.nytimes.com/2005/10/15/polit ... yt&emc=rss
[quote:d6ed1]One of Mr. Bush's most senior aides, who declined to be identified because of the sensitivity of the subject, said that so far American military forces in Iraq had moved right up to the border to cut off the entry of insurgents, but he insisted that they had refrained from going over it.
But other officials, who say they got their information in the field or by talking to Special Operations commanders, say that as American efforts to cut off the flow of fighters have intensified, the operations have spilled over the border - sometimes by accident, sometimes by design. [/quote:d6ed1]
It's can't be confirmed that US forces are actually inside Syria, but the possibility is there.