By a threefold, I mean a compact complex manifold of dimension three.

For a simply-connected threefold with trivial canonical class, its Betti numbers satisfy: $$b_2 \ge 0, b_3 \ge 2.$$

I am wondering whether there is such a threefold with those minimal Betti numbers. Precisely,

Is there a simply-connected threefold with trivial canonical class and Betti numbers $b_2 = 0$, $b_3 = 2$?

Note that such a threefold cannot be projective.