The variations in line thickness are exactly what you’d get with a calligraphy pen (and pens before ball points like fountain pens, quills) and are a function of the consistent direction of the pen and the smoothly varying direction the line is being written. So you will see it in all old pen/quill writing styles.
No, not like this. You'd get a different kind of variation in line thickness. That was the main point of my comment, but apparently I didn't explain it well.
The wide gamut in line thickness and the orientation of it is typical for Arabic fonts, but not for cursive ones.
Personally, this kind of line reminds me of a arab dagger even.