Good afternoon,
Unfortunately no, Home leave for personnel serving in the far east was only passed through parliament in 1944. They would be allowed 28 days home leave, about 1500 men per month.
In 1900 or soon after air transport was nonexistant. A return trip by sea would have exhausted your leave entitlement. I would assume that shore leave would be permitted but only if safe to do so and then only if your ship was in port for a reasonable time.
John915
Added; I don't think wives went out as a rule.