I seriously doubt it.
would be like trying to mod your cordless phone that runs on 2.4 to be a range extender. just because it just happens shares the same freq bandwidth doesn't mean its connection type, protocol, handshake, data transfer method, or packetrate are anywhere near compatible.
the bandwidth freq it uses is just the allotted range they are allowed to use, it doesn't have anything to do with the type of connections it can do. not to mention the power rating of it. and the distance it can send/receive. USB mouse dongles are low power-short range. trying to bump it up to a wattage that could send the signal 100-200ft would fry it in a minute.
-We don't control what happens to us in life, but we control how we respond to what happens in life.
-Hard times create strong men, strong men create good times, good times create weak men, and weak men create hard times. -G. Michael Hopf
Disclaimer: Post made by me are of my own creation. A delusional mind relayed in text form.