The statement is true.
A quadrilateral is a four-sided polygon. To satisfy the conditions of having no parallel lines and at least one right angle, consider a shape such as a trapezium where one pair of sides is neither equal nor parallel, and one of the angles measures 90 degrees.
For example, you can create a quadrilateral with vertices A, B, C, and D. Place points A and B horizontally, such that AB is not parallel to any other side. Then, drop down vertically from point A to point D to create a right angle at A. Finally, connect point D to point C, ensuring that line CD is neither parallel to AB nor AD.
This meets all the criteria: the quadrilateral has no parallel sides and contains a right angle (∠DAB = 90 degrees). Thus, it is indeed possible to create such a quadrilateral.