Currently, there is no formal war declared between the United States and Russia, but tensions are very high and conflict conditions are volatile. Russia continues its war against Ukraine, and there have been several escalations including drone attacks into NATO countries' airspace like Poland, Estonia, and Romania, which has led to an increased state of alert in NATO. The US has expressed frustration with Russia and is considering imposing more sanctions, but no direct military conflict between the US and Russia has been declared or initiated.
Russia and Belarus have also been conducting joint military drills named Zapad-2025, which has raised concerns among NATO members about Russian military intentions. NATO countries on the eastern front are on high alert but no actual war between NATO/the US and Russia is currently underway.
In summary, while the situation is tense and could potentially escalate given the ongoing war in Ukraine and repeated airspace violations, there is no current state of war between the US (or NATO) and Russia.