The scientific answer, perhaps originally intended, is that no, the tree does not make a "sound". It makes sound waves, that without an instrument such as an ear, do not convert to actual sound. The common sense answer, as the question has mostly come to rely on, is that yes, it obviously makes a sound since we know that a tree falling makes noise regardless of whether anyone is around or not. The metaphysical, and perhaps first roughly proposed, answer is that no, the tree does not make a sound if no one is there to witness it falling. And indeed the act of making a sound isn't even a quandary, all that matters is that the tree in fact ceases to exist if no one is there to witness it.
The production of sound requires 3 things: A source, a medium, and a receiver. The source, through vibrations called "compression" and "rarefraction", creates a series of pressure waves that vary in frequency and amplitude. These pressure waves propagate through various mediums including water, air and solids. The receiver collects and converts these pressure waves into electrical impulses. If you remove any of the 3 requirements for sound, there is no sound.
In the vacuum of outer space there is no means of propagation, therefore, no sound. In the absence of a receiver in the woods, the falling tree only produces a series of pressure waves.
If a tree fell in the forest, it would disturb the surrounding air, creating vibrations that the auditory senses are capable of sensing. For the absence of these sound waves, there would have to be an absence of air, in which case the tree would not exist in the first place. It is not the absence of sound that should be considered, but rather the absence of awareness of the sound.