There is no way to bypass the longer ping times, it is a matter of simple physics and how networking works. First, most of the traffic between you and the aforementioned Chinese server runs over fiber. It takes a certain amount of time for packets to travel along a fiber line, referred to the refractive index:
The index of refraction (or refractive index) is a way of measuring the speed of light in a material. Light travels fastest in a vacuum, such as in outer space. The speed of light in a vacuum is about 300,000 kilometers (186,000 miles) per second. The refractive index of a medium is calculated by dividing the speed of light in a vacuum by the speed of light in that medium. The refractive index of a vacuum is therefore 1, by definition. The refractive index of the cladding of an optical fiber is about 1.52. The core value is typically about 1.62. The larger the index of refraction, the slower light travels in that medium. From this information, a simple rule of thumb is that a signal using optical fiber for communication will travel at around 200,000 kilometers per second (1000 ms).
To put it another way, the signal will take 5 milliseconds to travel 1000 kilometers in fiber. Thus an internet query (or ping) carried by fiber between Sydney and New York, a 16,000-kilometer distance, means that there is a minimum delay of 160 milliseconds (about 1/12 of a second) between when ping is initiated and when the ping returns. That is an ideal case with a single piece of fiber. The other delay is the fact that your packet data has to traverse many intermediary pieces of networking hardware. Try to do a traceroute between you and a website in the United States (try www.google.com) and you will see between 5 and 10 "hops" on average. Each hop is a networking device (some sort of router) that forwards the data on to the next towards your destination. Now if you try to do a traceroute to a Chinese website (like a www.baidu.com) and you will get around 14 to 16 hops, and one of those hops will be a dozy, going along one of the Transatlantic communication cables (actually, probably two or more cables to get to China).
By the way, using a VPN would only create more latency (travel time to the VPN endpoint, then travel time from there to the destination, and back). Now, if there was a way to spin your packets through a wormhole or something...
TL;DR: The end result is that your ping times are 3 to 10 times slower to get to other continents than reaching IP addresses in NA.
/Network guru hat off