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Yes; whenever you have two objects in an abelian category such that $Ext^2(M,N)$ is not equal to 0, we have a conformal object given by coning with this morphism. More down-to-earthly, the element of $Ext^2(M,N)$ is given by some complex $N \to K \to L\to M$; the non-formal complex is just $\cdots \to 0\to K \to L \to 0\to \cdots$.