The thickness of the walls (hatched with green solid) in your drawing is 9.91E+40 in Scientific E-notation. In decimal notation it is 99100000000000000000000000000000000000000 (!).
Now you can imagine how small is 2 compared with the value above.
Offset works in your drawing, you cannot see the results of offset, because you are trying to offset to extremely small distance compared with the dimensions of the geometry in the drawing.
You can check this yourself:
draw line,
use offset with value 2
now select "line" with crossing window and look at the properties palette - you will see that you selected 2 lines - one of them is the result of OFFSET command.