To a large degree, yes [1]. The US is affected by oil prices globally, but if OPEC decides to cut off the US it wouldn't have the same effect that Russia is having on the EU right now.
> also participate globally
In crises, the US has the option to restrict exports. The EU does not have that option because it is not a net producer of fossil fuels.
[1] https://www.iea.org/data-and-statistics/charts/natural-gas-p...
