Most vintage Japanese, Necchi and others usually have the same footprint as the older Singers up until the 400 series. That is, the bed is the same size and shape. I have Singer, Brother, generic, and another brand of cabinets and tables and I regularly switch between my Singer, Brother, and other Japanese machines. For Singer cabinets made for the 400/500 series and up, Japanese machines will fit the hinge pin spacing but there will be a gap at the right edge of the machine because those Singers have a longer bed. So yes, depending on the model, you can put a Singer in that cabinet.
Cari