It's possible to repair this? My iPhone SE's sleep / wake button died just last Friday. I took it to an Apple store and they basically said my only options were to buy a refurbished phone or a new phone.
I am assuming you do not mean the “home” button. If so, when I had an old iPhone 5 with a broken power (sleep/wake) button, I turned on AssistiveTouch to be able to lock the screen and reboot without using the janked power button. Without that, I would have had to buy a new phone.
Try an independent repair place. They can't fix everything but the front panel is usually fixable. I actually own 2 SE. Whenever the battery on one gets bad or I crack the screen I take it in for repair, get the other one out, put the repaired one back in a box in my closet.
