You raised a good point about inflation not necessarily being tied to printing money, but you ignored the fact that if you print more money (without an obvious productive place for it to go) then you simply increase supply without increasing demand which causes inflation. It's happening right now in the US by just about every metric, and there is good reason to believe it is about to go up a lot more.
So no, the US not only is currently experiencing inflation like it has not seen for decades but there is likely to be a lot more in the near future. The Fed is printing money like crazy (I believe we've printed approximately 30% of our total money supply in the past ~2 years, so in ~2 years we've printed approximately half as much money as we did in the previous ~200 years) which deflates the value of our currency. I actually rounded all the numbers down to make it seem less problematic than it is - I encourage you to check the data for yourself.