Answer:
Yes.
Step-by-step explanation:
Codominance may be defined as phenomena in which both the traits express themselves equally. ABO blood group is the case of codominance. The AB blood group express themselves in equal proportion.
The woman has blood group AB ( IAIB). The child is also AB ( IAIB). The man with blood type A can have the genotype (IAIA or IAi). The cross between the man and woman results in the progeny with blood type A, AB and B. Hence, the man with Blood type A can be the father of the child.
Thus, the answer is yes.