wilky machining parts to fit is not what i had in mind. Yes obviously if you machine parts to get them to fit then anything is possible. But out the box the parts are not compatible.
A T4 comp wheel will not fit a T3 shaft and assemble with a T4 back plate as the comp wheel is too high and requires machining, you would require a T4 shaft machined down to fit a T3 housing which is a waste of a T4 shaft like i said previously.