No. Because the square in figure 1 has an area of 64, and the rectangle in figure 2 has an area of 65, it cannot be spliced well.

Rectangular area =5(5+8)=65,

The area of two triangles and trapeziums in the diagram (1) is 2×12× 8× 3+2×12× (3+5) × 5 = 24+40 = 64.

So the area of the middle gap is extra 1. The correct picture is: