No, that piece there requires the 4-pin module to plug into. Get rid of that whole assembly in your hand, and get rid of the module. Use a spade connector on the wire that will go to Pin#24 and slide it into the pickup coil's plug like I did. It doesn't really even matter which side of the pickup coil. Then the other side needs to be grounded, which you can see I did with a short piece of wire and a spade and hole connector. It ain't pretty, but it works.

Your pickup coil will have a bigger plug than mine in the picture because mine is a 7-pin pickup coil. The ONLY difference between the 4-pin and 7-pin pickup coil is the size of the plug.