Using a pushbutton to mimic a two way switch

I would like to know if there would be a way to use a pushbutton similar to the one found in an analog ps2 controller to change the memory card/ rumble feature on my n64 controller. I'm trying to make a fully encased one piece n64 controller with the memory and rumble pack inside to look almost fully stock. I understand that the n64 controller does not support analog controls and I am switching out the main board inside. Let me know if said switches exist.
 
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