You can? On my phone, deep pressing on the 'block' in Control Center containing the Wi-Fi icon gets me to a submenu, which adds text labels to the existing toggles and adds two more toggles (AirDrop and Personal Hotspot). However, pressing the Wi-Fi button from that submenu seems to have the same effect as outside of it, and deep pressing it (as well as long pressing it) has no effect.
edit: but you can definitely turn them off through the Settings app.
As I said elsewhere, I repeated the GP's claim without testing it myself, assuming good faith on his part. After testing I found it wasn't true. Unfortunately I can't edit my original comment now, so I've been apologizing throughout the thread.
edit: but you can definitely turn them off through the Settings app.