Yes and no. Let's take a couple examples
https://en.wikipedia.org/wiki/List_of_countries_by_carbon_dioxide_emissions
Lets take China and India vs the US
China produces 29.5% of world emissions currently, at a rate of ~7.7 tons per person.
India produces 6.8% of world emissions, at a rate of ~1.9 tons per person.
The US produces 14.3% of world emissions, at a rate of ~16.1 tons per person.
Seems clear cut enough, but it ignores economic side of the problem.
https://en.wikipedia.org/wiki/List_of_countries_by_GDP_(nominal)
The US leads the way in GDP with ~18.5 trillion dollars
Ignoring the EU, China is #2 at ~11.2 trillion dollars
India is substantially less, at ~2.3 trillion dollars
Doing the math, one finds that the Chinese are putting out double the carbon of the US, but have a significantly lower GDP. India produces roughly 1/2 of the carbon the US does, but its GDP is also 8 times less. IOW, for any given economic activity, the US is producing less carbon than either China or India.
Why does this matter? Because these countries aren't just sitting still, they're developing and ramping up their economies. If that increase is powered by fossil fuels, there's a much bigger problem than what exists today. Of course, you can consider the reverse: if only per capita emissions matter, there's a really simple solution to the US's problems; dramatically increase the population and force them to live in total squalor.