While @ditusa is correct that double shielded devices do not require a ground, the double shielding mark is absent, and internally it does not appear to be double shielded. Also, internally there IS a connection from the ground pin to a chassis screw (based on a picture).
Having said all of that, the chance for contact between the power and chassis exists only at the 200mA fuse. Everything else looks very well insulated and I’d say that the chance of an actual Hot to chassis fault is nearly zero, barring immersion in liquid.