  In this article, we study the finite distance problem with respect to the
period-map metric on the moduli of non-K\"{a}hler Calabi--Yau
$\partial\bar{\partial}$-threefolds via Hodge theory. We extended C.-L. Wang's
finite distance criterion for one-parameter degenerations to the present
setting. As a byproduct, we also obtained a sufficient condition for a
non-K\"{a}hler Calabi--Yau to support the $\partial\bar{\partial}$-lemma which
generalizes the results by Friedman and Li. We also proved that the
non-K\"{a}hler Calabi--Yau threefolds constructed by Hashimoto and Sano support
the $\partial\bar{\partial}$-lemma.
