Is there a treatment available for people with sickle cell trait and alpha thalassemia?

Yes. Hematologists (blood specialists) evaluate persons with both sickle cell trait and Alpha thalassemia disease. The sickling should not be a problem, because the person is only sickle trait, and Alpha thal. Mutations seem to lessen the tendency of blood cells to sickle from the sickle cell mutation. Persons with both sickle trait and Alpha thal. Trait probably won't have symptoms needing treatment.
Coordinate care. Both are genetic disorders that have chronic effects on the body, sickle cell trait probably being the more serious of the two. It is not the same as sickle cell disease--considered worse. Treatment needs to be coordinated by a specialist or your primary care, if they are knowledgeable. There are many many variables, so learn as much as you can about them and advocate with your doctor.

Related Questions

Can you have both the thalassemia trait and sickle cell trait?

Yes. A person has both sickle cell trait and Alpha or beta thalassemia trait if he inherited one gene mutation for sickle cell anemia, and also inherited one gene mutation for beta thalassemia or two gene mutations for Alpha thalassemia. Mutations can come from either parent, or all mutations can come from one parent.
Yes. Many people have Alpha thalassemia trait and sickle trait together. This combination rarely leads to any significant medical concerns. Fewer people are affected with both beta thalassemia and sickle trait at the same time, and this combination is more serious (a form of sickle cell disease), often leading to medical problems for the individual.
Yes and no. If you have the sickle cell mutation on one beta hemoglobin gene and a thalassemia mutation on the second gene, then you have sickle cell beta thalassemia - this is not a trait but a disease. The severity of the disease is dependent upon the size/ location of the thalassemia mutation.

Is there a cure for sickle cell trait?

No. And no cure is needed. With rare exceptions sickle trait has no impact on health and longevity.
Not needed. Sickle cell trait almost never is is associated with any clinical problems more severe than enuresis (bed wetting), so there is no need for a cure. If your question is whether the gene mutation can be reversed so you cannot transmit the condition to your children, the answer is no.
There is no cure. Those with sickle cell trait have both normal hemoglobin (hemoglobin A) and hemoglobin S. This means the person inherited a "defective" gene from one parent and a normal gene from another parent. The defective Hemoglobin S gene creates abnormal hemoglobin and sickle shaped red cells. Unfortunately, there is currently no cure for sickle cell disease or trait (As is the case for most genetic disease)