Answer
No.
Work Step by Step
We know that for a rectangle to result in a square screen, $\frac{X_{max}-X_{min}}{Y_{max}-Y_{min}}=\frac{3}{2}$ must be true.
Here: $\frac{X_{max}-X_{min}}{Y_{max}-Y_{min}}=\frac{5-(-5)}{4-(-4)}=\frac{10}{8}=\frac{5}{4}\ne\frac{3}{2}$. Thus it is not a square screen.