Question

Does refraction of light occur in translucent object

Answer 1

Sure it can. An translucent material absorbs light, to a greater or lesser degree depending how translucent it is, but that doesn’t mean that the material has no index of refraction. In general it will have an index of refraction, but the index of refraction will have a pretty large imaginary part. So light is absorbed quickly in an translucent medium.
Still a narrow beam of light will change direction at the interface between a transparent medium and an translucent one, before it is extinguished. The reflected light will be angle dependent too.