Replacing power button s4 with button s3

So since a couple of weeks my power button has taken up the task putting out my phone whenever it wants to. I took it apart a while ago and discovered that my power button wasn't broken, but simply stuck. After frustratingly trying to fix it, I found a youtube video that showed that when you simply hit the phone on a hard surface with the button, it will work again. That was my way of "fixing" the problem for the past weeks, but it seems like the button now has no life left in it.

It's hard to buy a replacement button where I live, so I decided to take my old S3 apart and by the looks of it, it has the exact same buttons to adjust the volume with, as the S4 has for the power button (and also volume buttons). Can I take an S3 volume button and replace my S4 power button? It would be awesome if I can fix it like that.

Thanks in advance!