Nope because the Federal Reserve can issue new Federal Reserve notes (aka money) to the US Government to buy their bonds at any price point. As the other commenter pointed out this would cause inflation (as it increases the money supply)
Buying treasuries = the Fed giving money to the US government
Quantitative easing = the Fed giving money to banks
In the case of the US, the entire game is also complicated by the fact that the US dollar has insinuated itself into the global economy. Most critically in oil markets.
Because of this, there are some things the Fed can do (mostly) without the consequences other countries would face.
Look at the wealth inequality increase since 2008. It can mostly be attributed to federal reserve QE policy.