That is possible, in terms of the sample rate rather than the bit depth though. Expanding on what
@RRod stated, we'd effectively be talking about IMD. If we feed a signal to an amp beyond what the amp is designed to accept, say a 40kHz signal input into an amp designed for signals in the range of 20Hz to 20kHz, an amp can respond with distortion in the audible range. I read an article or paper from a reliable source some years ago, which tested a number of speakers and amps and concluded that this type of audible distortion occurs much more commonly than is generally assumed, even with high sample rate material which only contains relatively small amounts of ultrasonic material. Unfortunately, I can't remember the title or enough other details of the article to locate it with a cursory search. Does anyone out there know the paper/article in question?
G