Yes, ours in the half-bath fits under the wall-mounted sink. The half-bath is so small that it probably isn't code-compliant (no joking, the city cares how much space we have on either side of the toilet).

The covered type of boxes get mixed reviews from end users but certainly do make for less litter flinging. I clean the box so often that smell isn't really a problem for us. Most of the time. Except when Arthritic Cat misses, poor thing.