Write down five numbers with a median of 6 a mode of 4 and a range of 4

Short No afraid not.

Opposite sides of a parallelogram must be equal and parallel. The opposite sides of a kit are neither. To make sure you understand, measure the upper left side and the lower right side. The upper left is shorter than the  lower right (even though these sides are opposite one another).

It you extend the upper left line upward and do the same thing to the lower right,  you will get two lines that meet. No parallelogram will do that.