No it's not on an engineering level. Rather than explaining, it would be much easier to draw a comparison to something you already know.
Transformers are use to provide different operating voltages in homes and buildings than what the utility uses to transmit power. If the utility installed a 35KVa transformer outside your home you would have the capacity to use 35KVa worth of power (and have 35,000 amps of available fault current, but that's a different topic). If this meant that the transformer was drawing 35KVa at all times, it would completely negate the benefits of transmitting at a higher voltage. Well, other than the capacitive reactance that is designed into transmission systems, but again another topic.
So where was I? Oh yeah, just because the current is available does not mean it's drawing the current. Another easy example to compare it to would be your door bell. Another transformer that draws minimal current until needed.
But yes, all magnetic transformers draw some current when not in use. Like those in the power supply of your electronics.