If it's a later made Japanese machine, usually they are the same as Singer. Kenmore (sears) liked to be different, and often went with something so that you could not use aftermarket items with what they sold.
older machines (pre WW2) often times the answer is no - they were way more brand specific. And even if the spacing is the same, the hinge pins are not. Some are too long, some are too fat, some are more square shaped, and some are round. Some require set screws and some do not. Now if you are creative, you can make just about any machine fit in any cabinet.