so yes, the question is pretty much asking if it makes a vibration
Tree

But there is nothing to pick up those vibrations, therefore not making it a sound. The definition says that "vibrations that CAN BE HEARD WHEN THEY REACH A PERSON'S OR ANIMAL'S EAR

Alright, there wouldn’t be sound in the perceptual sense, BUT there would be a physical event, vibrations in the air and ground.
Falling tree exerts force on the ground and pushes through the air. By Newton’s laws, this force creates pressure waves, mechanical vibrations, in both air and earth. These vibrations occur independently of observation, making the event physically real whether or not anyone is present to hear it.

vibrations that travel through the air or another medium AND can be heard when they reach a person's or animal's ear."

a sound is a concept formed by your brain, because your ears detect the vibrations in the air.
it makes vibrations, both in the ground and the air, but that is not sound.
again, the sound is made up by our brains, and other creatures brains, and therefore is not truly real
You're being picky about the word "sound", but the core of the OP's question can be rephrased as: "If a tree falls in a forest and no one is around, does it make a vibration?"
And then, the question still leaves room for debate...
The definition of a sound is: "