You can do it over a wireless channel. Really doesn't matter. If someone has the hardware and technology to intercept your wireless packet they have the technology to hack WEP/WPA1 and they can perform other malicious actions on WPA2.
So if someone is going to do something bad, they are going to do it regardless. In some sense the idea of using 100 some odd bits to protect 10k is laughable.
As far as interference, modern wireless routers have turbo codes built into a protocol. It is quite clear when turbo codes fail, so its not like there is a possibility of it getting the wrong message. If it doesn't receive the message right it will just ack.
In the future we will hopefully start using codes and practices which satisfy shannon secrecy conditions such as One time pads
but until then it is in a practical sense safer to use a wired connection but asymptotically with number of transmissions both methods are equivalent.
In most environments the most applicable hack is someone trying to log into your network.