Is it possible using API data, to literally implement ShapeShift.io into the Qt...

I don't need to explain the advantages here.

https://www.youtube.com/watch?v=OezDK2O5Dnc

Welcome to ShapeShift...

ShapeShift is a new piece of infrastructure in Bitcoinland. It is how digital currency exchange should work. From start to finish you can change currencies in under ten seconds, no account required.

API Documentation

ShapeShift is primarily intended to be used as an API.

For any of the api calls if there is a problem the error message will be returned as the following JSON:
{error:"Error message"}
Many of the requests require a 'coin pair'. A coin pair is of the format deposit_withdrawal. Example: 'btc_ltc'. Valid pairs are any combination of the below listed valid coins.* The list will grow as we add more:

btc, ltc, ppc, drk, doge

* If a particular coin goes offline any pairs using it will return a message stating that pair is temporarily unavailable.

All requests are available via http or https. We recommend using https. http may be phased out in the future.