Not an expert, but I think it cannot be done - at least not as efficiently as with a VLF detector.
The VLF unit works on phase shift differences between the transmitted and the received signal. The different metals create more or less of a phase shift, and that enables the circuit to estimate what the composition of the metal is.
In Pulse Induction machines, the circuit is essentially measuring the amplitude and duration of the echo produced by the coin. The PI machine sends out a pulse, then turns off for a good portion of the cycle (like over 90% of one AC cycle), then listens for the echo. There is no phase shift involved.
I would estimate it's not too difficult to add an induction balanced pickup coil concentric with the transmit coil, and then listen for the phase shift response while the PI coil is "off", but there would be all sorts of interference from the echo, and the jury-rigged discrimination circuit would have to know when the PI coil is off. That would require some engineering integration between the discriminator and the PI circuitry - - in other words, an engineering nightmare. Seems you would have to integrate the two circuits from the start, or forgeddabout it.
My 2-cents.