In short: no. Super 8 and 8mm are two different types of film.
The perforations on 8mm film are nearly twice as wide as Super 8 perforations. This difference in size requires you to use a projector that is designed to play a specific size of film.
There are machines, called Dual 8 projectors, that can play both Super 8 and 8mm film. Be careful, though, as these machines may compromise the condition of your film.
If you’re unsure what type of film you have, Super 8 film has a .91mm sprocket hole width, while 8mm has a 1.8mm sprocket hole width.
You may want to skip the projector altogether, and invest in a more modern solution. Many places will take your film and transfer it to a DVD for a relatively low cost.