LONDON—British Health Secretary Matt Hancock said he was “very sorry” after pictures of him kissing and embracing his top aide, a friend hired last year, were splashed on the front page of the Sun newspaper. “I accept that I breached the social distancing guidance in these circumstances,” Hancock said. “I have let people down and am very sorry. I remain focused on working to get the country out of this pandemic, and would be grateful for privacy for my family on this personal matter.” The publication of the photos, taken in Hancock’s office last month, raised more questions about his judgment. Hancock, who has been under fire for his handling of the early months of the COVID-19 pandemic, was found in February to have acted unlawfully by not revealing details of contracts signed during the health crisis. The opposition Labour Party, which had accused the government of “cronyism” in awarding …