Can constant pressure on your face cause permanent facial deformities?

Is it actually possible to get a physical indentation in the area above the upper lip—specifically right under the nose—where it's the muscle rather than the bone being depressed?

In my case, I’m assuming this dip is being caused by my thumb. I have this habit of constantly leaning on my hand and pressing my thumb into that specific spot.
I work a desk job where I’m constantly reading and typing, so my hand stays in that exact position for about four or five hours a day at the office, and then I do it for another five or six hours at home.