Can we construct a compact complete pluripolar set?

Question

We know that analytic sets are not relatively compact in $\mathbb{C}^n$ when $n\geq 2$. In fact, we can construct plurisubharmonic functions by holomorphic functions. So analytic subset belong to pluripolar set. In term of this, can we construct a compact compelete pluripolar set? Of course, trivial example like discrete points should be excluded.