You mean by tapping into the power inputs to the amp?
Not a problem. You'd have a single power line feeding both your amp and your satellite tuner.
However, if you turn up the volume to extreme levels, the amp may draw enough juice that the tuner becomes starved for power. I guess it all depends on how you use that amp.
Wait... kinda a bad idea... the power line to the amp is going to have some huge monster fuse because the amp draws lots of current. A short in the satellite tuner probably wouldn't draw enough current to trip that fuse, so you'd have tuner meltdown and possibly a fire. So be sure to put an appropriately sized fuse on the power feed to the tuner.