TOKYO—Japan said on Thursday international travelers showing proof of a COVID-19 vaccination with the Johnson & Johnson shot would be allowed in and be eligible for a shorter time in quarantine when border controls are eased next month. The J&J shot, which has not been approved in Japan, will join a list of three other shots that have been approved by regulators as sufficient for non-residents to enter, after a nearly two-year ban on such travelers. The other approved vaccines on a list that the foreign ministry released on Thursday are the ones developed by Pfizer Inc., Moderna Inc., and Astrazeneca Plc. Vaccines developed by Chinese and Russian makers are not included. From March 1, authorities will raise the number of people allowed in to Japan to 5,000 a day, from 3,500, Prime Minister Fumio Kishida told reporters last week. The easing applies to students, workers, and other visa holders, …