No, for a device with a 4-pole connector either it works with the Mac or not.
A few questions to clarify the issue:
1) Does the Stinger work with any machine you try it with? With a friend's Mac? A Windows or Android device? Believe it or not, there are two standards for wiring those. Well, three, but two of them are identical.
2) What model Mac do you have?
3) Has that Mac worked with any 4-pole headset?