No, America (meaning the USA) is somewhat smaller than Europe, especially if you count European Russia, another country whose size is often underestimated. Though, it is helpful to realize that the United States is, in fact, larger in terms of landmass than China, and is exceeded only by Canada (the other North American Anglo democracy, much of whose land is largely empty due to the extreme cold) and by Russia, (another country with a lot cold, mostly unused land.)

Russia, even in its post Soviet scaled-back state, is in fact largely an empire. Most of its land was conquered from indigenous peoples who still inhabit it, this it not too different from both the United States and Canada, though the circumstances are somewhat different.