Sad to say this but I just found out the below from Wikipedia:
The terms Li Chun egg balancing or egg of Li Chun refers to a Chinese folk belief that it is much easier to balance an egg on a smooth surface during Li Chun (the official first day of spring in the Chinese lunar calendar, which usually falls on February 4 or 5), than at any other time of the year. Balancing fresh chicken eggs on their broad end was a traditional Li Chun ritual in China.
This "fact" has come to be widely believed in the United States since 1945, and egg-balancing events are sometimes held on that date. In fact, the balancing of an egg on its broad end is not particularly difficult, at any time of the year.
So whoever said that egg balancing can’t be done at all or at any time of the year is lying! I’ve tried it and it can still stand. Mystery resolved.