John,
Apparently, that would be a no, 1.5 amps is what is specified.
Um, uh, well, not exactly.
An earlier version of the Radio Shack device, while admittedly is only 1 amp, in practice does a fine job of powering a TIU. I've been using one, off and on, for several years without any issues and actually do recommend it in both editions of The DCS O Gauge Companion:
Another source of power for the TIU's Aux. Power port is the Radio Shack #273-1690 18/24 VAC 1000 mA Power Adapter with #273-1716 Adaptaplug M. It should be used on the 18 volt setting.
It just works for me and for many others as a good source of power for the TIU. Possibly, the TIU's power requirement is a wee bit overstated and the Radio Shack device's output is a little understated, and that allows things to work out OK.