Say what? You can... indirectly! Upload via wifi to dropbox, share link to anyone, they download via wifi. Obviously you both would need to have a WiFi connection to an access point... But at the end of the day, mission accomplished...
Does this app actually go directly device to device via WiFi?
With this app you can send a file to anyone on the same wifi network without it having to go via the Internet. Like bluetooth but much faster, sending photos is almost instant.