The answer is False.
Similar figures are shapes where one looks like a miniature, larger, flipped, and/or rotated version of the other. Thus, they will have sides that are proportional to each other and will have same angle measurements.
MNOP is a parallelogram, while QRST is a square. They are not similar because they do not have congruent angle measurements although the corresponding sides are proportional.
(Interesting property regarding similarity: Any square is similar to another square)
Hope you found this useful!