As the title suggests, I have the following question:

Is there a compact complex manifold with $b_1(X)=b_2(X)=b_3(X)=b_4(X)=0$?

As the title suggests, I have the following question:

Is there a compact complex manifold with $b_1(X)=b_2(X)=b_3(X)=b_4(X)=0$?

Clarification:

Denote by $b_k$ the $k$th Betti number of a compact complex manifold of positive dimension.