According to HiFiBerry, it does support WiFi:
it also supports WiFi. You need to enable WiFi by editing the config file wpa_supplicant.conf on the FAT partition. Add the following lines:
network={
ssid=“Your SSID Here”
proto=RSN
key_mgmt=WPA-PSK
pairwise=CCMP TKIP
group=CCMP TKIP
psk=“YourPresharedKeyHere”
}