Are there any effective alternative treatments for pulmonary hypertension?

No. None proven. It is not an easy condition to treat. It is serious and potentially fatal.
No. There are no complementary/alternative medical therapies that can treat pulmonary hypertension. The choice of therapy depends on the age of patient, disease severity, underlying causes, cardiac catheterization results (especially vascular responsiveness & pressures) & associated conditions (such as severe lung disease). Please consult a pulmonary hypertension expert.