She doesn't have enough straws to cut 20 pieces.
Step-by-step explanation
As the number of 1/2 inch pieces needed is 20, so the total length of all 20 pieces should be :

Now, she has two straws and the length of each straw is 4 inches.
So, the total length of two straws

As, the total length of two straws is less than the total length needed , that means she doesn't have enough straws to cut 20 pieces.