Answer:
42 times
Step-by-step explanation:
https://medium.com/@priyanshrastogi/crazy-math-how-to-reach-the-moon-by-folding-a-paper-432af783c1d7
This sites states that if you were to fold a piece of paper 30 times, it would reach a thickness of 6.67 miles (average height of a moving plane).
If we fold it 45 times, the thickness is now over 250,000 miles and the distance between earth and moon is around 239,000 miles.
There is a theory that folding a piece of paper (large enough, with enough effort acting on it) 42 could reach the moon. Theoretically, it's only possible to fold a piece of paper 8 times, but when you do this, measure the width of the growing paper. Each time it's folded, the paper doubles in size.
Eventually, the paper will start grow faster (quicker) because the number is getting larger too. It would logically be impossible, but as a theory it stands as a possibility