Can the isolation amplifier supply a transmitter?

Yes, a transmitter repeater or transmitter repetition amplifier can supply the 2 or 3-wire transmitter with energy by galvanically isolated means.

A 2-wire measuring transducer takes its voltage supply from the measuring signal, the current for which is provided by the transmitter repeater. In the case of 3-wire measuring transducers an additional input terminal with feeding voltage is available to the transmitter.