No. The filter stack is reversed for a conventional three-piece French press.

The diagram puts the cross plate (4) above the mesh (5) and the spiral plate
(6) below it. The usual order, from the lid toward the bottom of the beaker,
is:

  plunger rod -> spiral/spring plate -> mesh screen -> cross plate

The spring-edged spiral plate belongs above the mesh, with its perimeter
spring holding the mesh edge against the glass. The cross plate belongs
underneath, supporting the mesh against the upward force during plunging.
Swap parts 4 and 6 and revise the cross-plate description accordingly.

The fastening arrangement varies by model: many presses screw the rod into
a threaded hub on the bottom cross plate rather than use a separate retaining
nut. A separate nut is not inherently wrong if the parts are designed for it.

The knob, lid, rod, beaker, and outer frame are otherwise arranged plausibly.