Is it possible to catch leprosy from massages, even if the masseuse has no visible signs of illness?

No. Leprosy. is often called the least contagious of the infectious diseases. One may carry these bacteria for five to 20 years before becoming symptomatic. About 95% of people have natural immunity to Leprosy. It is most likely that leprosy is transmitted by lengthy & close contact with nasal droplets from an infected person. Of interest - after 2 weeks of treatment many lepers are no longer infectious.