In order for your child to have thalassemia major, they would most likely have to receive the gene from both parents. Since your wife cannot pass that on, I'd say no, you can't have a child with thalassemia major.
I am beta thalessmia father
If you have thalassemia major, then your child will always get beta thalassemia minor. However, if you only have one gene, then there is a 50% chance that each child will get beta thalassemia minor.