No,
Given measures are AS = 3 cm, SC = 4 cm,CD = 5.4 cm,
DA = 59 cm and AC = 8 cm
Here, we observe that AS + SC = 3 + 4 = 7 cm and AC = 8 cm
i.e. the sum of two sides of a triangle is less than the third side, which is absurd.
Hence, we cannot construct such a quadrilateral.