HONG KONG — Some families go to the beach for vacations, others visit big cities. Jamling Tenzing Norgay’s family climbed mountains.

“We went on a trek to some beautiful ridges. That’s what we did all the time, with my father,” said Tenzing, whose father, Tenzing Norgay, was a Nepalese-Indian Sherpa who in 1953 became one of the first two confirmed people to reach the top of Mount Everest along with New Zealand climber Edmund Hillary.

Tenzing’s father instilled a passion for…