This would not work as the wireless module would need to have a USB host controller for the gun to connect to, which of course it doesnt have.
If you compare a wired to wireless mouse, the design is totally different. The dongle which plugs into the PC is actually the mouse as far as the PC is concerned. The actual mouse just sends positional data over the wireless link but the mouse itself has no USB functionality. The gun would work the same way.
There are two possible enhancements to future versions, namely recoil and wireless but they are unfortunately mutually exclusive, at least as far as a proper recoil goes, so there might at some point be a recoil and a wireless version but not a wireless with recoil.
I am at present designing a wireless mouse for a client, and we might use the same dongle for a future Aimtrak version which will make it more viable.
Bluetooth is another option but that is quite impractical unless millions of them are being made.