No, its not how it works, For instance Core 2 Duo has 775 socket which means 775 pins, and i3 depends which one For instance 1366 (has that many pins) and diffirence is in technology, Core 2 Duo uses G41 and 1366 X79
In short answer no.
But if you wanna know which is compatible you can always use PCpartpicker.com if you really don't know.