The distance between China and North America varies dramatically depending on where you measure.
~8,000 km (5,000 miles) across the Bering Strait, between the Chukchi Peninsula (Russia) and Alaska (USA). At its narrowest, the strait is only 82 km (51 miles) wide. In winter, sea ice can form a temporary "bridge."
Nonstop flights between major Chinese and North American hubs take 11–14 hours, depending on route, winds, and aircraft. The polar route (over the Arctic) is standard for East Coast flights; trans-Pacific routes serve the West Coast.
The Bering Land Bridge (Beringia) connected Asia and North America during Pleistocene glacial maxima (sea levels ~120 m lower), enabling human and faunal migration ~15,000–20,000 years ago. Today, the Diomede Islands (Big Diomede/Russia, Little Diomede/USA) sit in the middle of the strait, separated by the International Date Line—just 3.8 km apart but 21 hours apart in time.
So while the continents are separated by a vast ocean, they nearly kiss at the top of the world.