array = ConstantArray[1, {5, 5}];
    ArrayPad[ArrayPad[array, -1], 1] // MatrixForm
> $\left(
\begin{array}{ccccc}
 0 & 0 & 0 & 0 & 0 \\
 0 & 1 & 1 & 1 & 0 \\
 0 & 1 & 1 & 1 & 0 \\
 0 & 1 & 1 & 1 & 0 \\
 0 & 0 & 0 & 0 & 0 \\
\end{array}
\right)$

Also

    ReplacePart[array, {1 | Dimensions[array][[1]], _} | {_, 1 | Dimensions[array][[2]]} :> 0]
      // MatrixForm // TeXForm

>$\left(
\begin{array}{ccccc}
 0 & 0 & 0 & 0 & 0 \\
 0 & 1 & 1 & 1 & 0 \\
 0 & 1 & 1 & 1 & 0 \\
 0 & 1 & 1 & 1 & 0 \\
 0 & 0 & 0 & 0 & 0 \\
\end{array}
\right)$