Yes it does.
I use a s8 which also does as long as I'm using the correct charging brick and a pad or desktop stand that provides fast charging. I use the official Samsung Desktop stand.
Also in my settings their is a toggle to turn Fast Charging On and Off.
Current Phone ~
Samsung Note 20 Ultra 5G SM-N9860_256Gb SnapDragon 865+
Samsung One Ui 3.1/ Android 11.
Ooo, it's one of those deceptively tricky borderline questions that wrongfoots you! Had to check into this one as I initially thought BandOfBrothers was right.
So... the S6 edge + supports wireless fast charging; but the standard S6 edge doesn't (it supports fast charging and standard wireless charging only). Wireless fast charging came in with the Note 5/S6 edge + from mid-2015.