It's entirely possible as the pad alignment/geometry in relation to the disc is completely different depending on rotation of the wheel.
Squeaking can be coming from one of two places, either between the disc and pad, or between the pad and brake piston. The pads are totally free floating and vibration together with grit/oxidation/whatever can cause resonance hence the squeaking at certain speed and/or direction.
If it is between the pads and the disc the only option is to try different pad/disc combination. Modern pads without asbestos are noisier than they used to be. If it is between the pad and brake piston you can try a small amount of high temp grease/anti seize compound on the back of the pad (not the braking surface obvs).You can get thin steel/teflon shim plates to stop the resonance but experience of changing pads on modern cars is that there is little room to spare until the pads are worn in.
One thing is for sure, as long as there is plenty of pad left, noisy brakes stop the car just as effectively as quiet ones (although I don't think totally quiet brakes exist)